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Finding the Fourth Proportional to 1,917.59, 2,645.98 and 1,078.17

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Solution

The fourth proportional to 1,917.59, 2,645.98 and 1,078.17 is: 1,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.59 : 2,645.98 = 1,078.17 : x
  2. Step 2: Convert to fraction form
    1,917.59/2,645.98 = 1,078.17/x
  3. Step 3: Cross multiply
    1,917.59x = 2,645.98 × 1,078.17
  4. Step 4: Simplify right side
    1,917.59x = 2,852,816.26
  5. Step 5: Solve for x
    x = 2,852,816.26/1,917.59
  6. Step 6: Final answer
    x = 1,487.71

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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.