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Finding the Fourth Proportional to 1,411.68, 2,117.04 and 917.78

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Solution

The fourth proportional to 1,411.68, 2,117.04 and 917.78 is: 1,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.68 : 2,117.04 = 917.78 : x
  2. Step 2: Convert to fraction form
    1,411.68/2,117.04 = 917.78/x
  3. Step 3: Cross multiply
    1,411.68x = 2,117.04 × 917.78
  4. Step 4: Simplify right side
    1,411.68x = 1,942,976.97
  5. Step 5: Solve for x
    x = 1,942,976.97/1,411.68
  6. Step 6: Final answer
    x = 1,376.36

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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.