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Finding the Fourth Proportional to 1,831.80, 2,752.02 and 1,507.80

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Solution

The fourth proportional to 1,831.80, 2,752.02 and 1,507.80 is: 2,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.80 : 2,752.02 = 1,507.80 : x
  2. Step 2: Convert to fraction form
    1,831.80/2,752.02 = 1,507.80/x
  3. Step 3: Cross multiply
    1,831.80x = 2,752.02 × 1,507.80
  4. Step 4: Simplify right side
    1,831.80x = 4,149,495.76
  5. Step 5: Solve for x
    x = 4,149,495.76/1,831.80
  6. Step 6: Final answer
    x = 2,265.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.