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Finding the Fourth Proportional to 1,411.86, 1,948.14 and 887.52

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Solution

The fourth proportional to 1,411.86, 1,948.14 and 887.52 is: 1,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.86 : 1,948.14 = 887.52 : x
  2. Step 2: Convert to fraction form
    1,411.86/1,948.14 = 887.52/x
  3. Step 3: Cross multiply
    1,411.86x = 1,948.14 × 887.52
  4. Step 4: Simplify right side
    1,411.86x = 1,729,013.21
  5. Step 5: Solve for x
    x = 1,729,013.21/1,411.86
  6. Step 6: Final answer
    x = 1,224.64

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