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Finding the Fourth Proportional to 1,781.60, 2,458.96 and 1,073.84

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Solution

The fourth proportional to 1,781.60, 2,458.96 and 1,073.84 is: 1,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.60 : 2,458.96 = 1,073.84 : x
  2. Step 2: Convert to fraction form
    1,781.60/2,458.96 = 1,073.84/x
  3. Step 3: Cross multiply
    1,781.60x = 2,458.96 × 1,073.84
  4. Step 4: Simplify right side
    1,781.60x = 2,640,529.61
  5. Step 5: Solve for x
    x = 2,640,529.61/1,781.60
  6. Step 6: Final answer
    x = 1,482.11

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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.