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Finding the Fourth Proportional to 1,597.69, 2,395.60 and 731.53

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Solution

The fourth proportional to 1,597.69, 2,395.60 and 731.53 is: 1,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.69 : 2,395.60 = 731.53 : x
  2. Step 2: Convert to fraction form
    1,597.69/2,395.60 = 731.53/x
  3. Step 3: Cross multiply
    1,597.69x = 2,395.60 × 731.53
  4. Step 4: Simplify right side
    1,597.69x = 1,752,453.27
  5. Step 5: Solve for x
    x = 1,752,453.27/1,597.69
  6. Step 6: Final answer
    x = 1,096.87

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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.