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Finding the Fourth Proportional to 1,531.90, 2,297.44 and 557.88

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Solution

The fourth proportional to 1,531.90, 2,297.44 and 557.88 is: 836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.90 : 2,297.44 = 557.88 : x
  2. Step 2: Convert to fraction form
    1,531.90/2,297.44 = 557.88/x
  3. Step 3: Cross multiply
    1,531.90x = 2,297.44 × 557.88
  4. Step 4: Simplify right side
    1,531.90x = 1,281,695.83
  5. Step 5: Solve for x
    x = 1,281,695.83/1,531.90
  6. Step 6: Final answer
    x = 836.67

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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.