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Finding the Fourth Proportional to 1,414.86, 1,951.29 and 917.01

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Solution

The fourth proportional to 1,414.86, 1,951.29 and 917.01 is: 1,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.86 : 1,951.29 = 917.01 : x
  2. Step 2: Convert to fraction form
    1,414.86/1,951.29 = 917.01/x
  3. Step 3: Cross multiply
    1,414.86x = 1,951.29 × 917.01
  4. Step 4: Simplify right side
    1,414.86x = 1,789,352.44
  5. Step 5: Solve for x
    x = 1,789,352.44/1,414.86
  6. Step 6: Final answer
    x = 1,264.69

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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.