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Finding the Fourth Proportional to 1,597.60, 2,395.76 and 731.68

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Solution

The fourth proportional to 1,597.60, 2,395.76 and 731.68 is: 1,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.60 : 2,395.76 = 731.68 : x
  2. Step 2: Convert to fraction form
    1,597.60/2,395.76 = 731.68/x
  3. Step 3: Cross multiply
    1,597.60x = 2,395.76 × 731.68
  4. Step 4: Simplify right side
    1,597.60x = 1,752,929.68
  5. Step 5: Solve for x
    x = 1,752,929.68/1,597.60
  6. Step 6: Final answer
    x = 1,097.23

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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.