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Finding the Fourth Proportional to 1,648.59, 2,470.44 and 917.16

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Solution

The fourth proportional to 1,648.59, 2,470.44 and 917.16 is: 1,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.59 : 2,470.44 = 917.16 : x
  2. Step 2: Convert to fraction form
    1,648.59/2,470.44 = 917.16/x
  3. Step 3: Cross multiply
    1,648.59x = 2,470.44 × 917.16
  4. Step 4: Simplify right side
    1,648.59x = 2,265,788.75
  5. Step 5: Solve for x
    x = 2,265,788.75/1,648.59
  6. Step 6: Final answer
    x = 1,374.38

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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.