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Finding the Fourth Proportional to 1,510.75, 2,084.54 and 881.38

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Solution

The fourth proportional to 1,510.75, 2,084.54 and 881.38 is: 1,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.75 : 2,084.54 = 881.38 : x
  2. Step 2: Convert to fraction form
    1,510.75/2,084.54 = 881.38/x
  3. Step 3: Cross multiply
    1,510.75x = 2,084.54 × 881.38
  4. Step 4: Simplify right side
    1,510.75x = 1,837,270.06
  5. Step 5: Solve for x
    x = 1,837,270.06/1,510.75
  6. Step 6: Final answer
    x = 1,216.13

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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.