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Finding the Fourth Proportional to 2,814.72, 3,885.12 and 1,766.40

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Solution

The fourth proportional to 2,814.72, 3,885.12 and 1,766.40 is: 2,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.72 : 3,885.12 = 1,766.40 : x
  2. Step 2: Convert to fraction form
    2,814.72/3,885.12 = 1,766.40/x
  3. Step 3: Cross multiply
    2,814.72x = 3,885.12 × 1,766.40
  4. Step 4: Simplify right side
    2,814.72x = 6,862,675.97
  5. Step 5: Solve for x
    x = 6,862,675.97/2,814.72
  6. Step 6: Final answer
    x = 2,438.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.