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Finding the Fourth Proportional to 1,539.70, 2,297.72 and 1,375.68

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Solution

The fourth proportional to 1,539.70, 2,297.72 and 1,375.68 is: 2,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.70 : 2,297.72 = 1,375.68 : x
  2. Step 2: Convert to fraction form
    1,539.70/2,297.72 = 1,375.68/x
  3. Step 3: Cross multiply
    1,539.70x = 2,297.72 × 1,375.68
  4. Step 4: Simplify right side
    1,539.70x = 3,160,927.45
  5. Step 5: Solve for x
    x = 3,160,927.45/1,539.70
  6. Step 6: Final answer
    x = 2,052.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.