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Finding the Fourth Proportional to 1,542.46, 2,314.08 and 446.90

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Solution

The fourth proportional to 1,542.46, 2,314.08 and 446.90 is: 670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.46 : 2,314.08 = 446.90 : x
  2. Step 2: Convert to fraction form
    1,542.46/2,314.08 = 446.90/x
  3. Step 3: Cross multiply
    1,542.46x = 2,314.08 × 446.90
  4. Step 4: Simplify right side
    1,542.46x = 1,034,162.35
  5. Step 5: Solve for x
    x = 1,034,162.35/1,542.46
  6. Step 6: Final answer
    x = 670.46

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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.