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Finding the Fourth Proportional to 1,510.90, 2,084.98 and 881.46

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Solution

The fourth proportional to 1,510.90, 2,084.98 and 881.46 is: 1,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.90 : 2,084.98 = 881.46 : x
  2. Step 2: Convert to fraction form
    1,510.90/2,084.98 = 881.46/x
  3. Step 3: Cross multiply
    1,510.90x = 2,084.98 × 881.46
  4. Step 4: Simplify right side
    1,510.90x = 1,837,831.68
  5. Step 5: Solve for x
    x = 1,837,831.68/1,510.90
  6. Step 6: Final answer
    x = 1,216.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.