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Finding the Fourth Proportional to 1,531.78, 2,297.68 and 377.52

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Solution

The fourth proportional to 1,531.78, 2,297.68 and 377.52 is: 566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.78 : 2,297.68 = 377.52 : x
  2. Step 2: Convert to fraction form
    1,531.78/2,297.68 = 377.52/x
  3. Step 3: Cross multiply
    1,531.78x = 2,297.68 × 377.52
  4. Step 4: Simplify right side
    1,531.78x = 867,420.15
  5. Step 5: Solve for x
    x = 867,420.15/1,531.78
  6. Step 6: Final answer
    x = 566.28

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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.