Home / 1,531.38-2,297.68-557.56

Finding the Fourth Proportional to 1,531.38, 2,297.68 and 557.56

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Solution

The fourth proportional to 1,531.38, 2,297.68 and 557.56 is: 836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.38 : 2,297.68 = 557.56 : x
  2. Step 2: Convert to fraction form
    1,531.38/2,297.68 = 557.56/x
  3. Step 3: Cross multiply
    1,531.38x = 2,297.68 × 557.56
  4. Step 4: Simplify right side
    1,531.38x = 1,281,087.32
  5. Step 5: Solve for x
    x = 1,281,087.32/1,531.38
  6. Step 6: Final answer
    x = 836.56

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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.