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Finding the Fourth Proportional to 1,641.57, 2,265.33 and 978.41

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Solution

The fourth proportional to 1,641.57, 2,265.33 and 978.41 is: 1,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.57 : 2,265.33 = 978.41 : x
  2. Step 2: Convert to fraction form
    1,641.57/2,265.33 = 978.41/x
  3. Step 3: Cross multiply
    1,641.57x = 2,265.33 × 978.41
  4. Step 4: Simplify right side
    1,641.57x = 2,216,410.20
  5. Step 5: Solve for x
    x = 2,216,410.20/1,641.57
  6. Step 6: Final answer
    x = 1,350.18

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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.