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Finding the Fourth Proportional to 2,314.72, 3,472.58 and 853.88

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Solution

The fourth proportional to 2,314.72, 3,472.58 and 853.88 is: 1,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.72 : 3,472.58 = 853.88 : x
  2. Step 2: Convert to fraction form
    2,314.72/3,472.58 = 853.88/x
  3. Step 3: Cross multiply
    2,314.72x = 3,472.58 × 853.88
  4. Step 4: Simplify right side
    2,314.72x = 2,965,166.61
  5. Step 5: Solve for x
    x = 2,965,166.61/2,314.72
  6. Step 6: Final answer
    x = 1,281.00

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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.