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Finding the Fourth Proportional to 1,887.68, 2,831.29 and 501.13

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Solution

The fourth proportional to 1,887.68, 2,831.29 and 501.13 is: 751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.68 : 2,831.29 = 501.13 : x
  2. Step 2: Convert to fraction form
    1,887.68/2,831.29 = 501.13/x
  3. Step 3: Cross multiply
    1,887.68x = 2,831.29 × 501.13
  4. Step 4: Simplify right side
    1,887.68x = 1,418,844.36
  5. Step 5: Solve for x
    x = 1,418,844.36/1,887.68
  6. Step 6: Final answer
    x = 751.63

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