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Finding the Fourth Proportional to 3,116.00, 4,672.78 and 924.14

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Solution

The fourth proportional to 3,116.00, 4,672.78 and 924.14 is: 1,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.00 : 4,672.78 = 924.14 : x
  2. Step 2: Convert to fraction form
    3,116.00/4,672.78 = 924.14/x
  3. Step 3: Cross multiply
    3,116.00x = 4,672.78 × 924.14
  4. Step 4: Simplify right side
    3,116.00x = 4,318,312.28
  5. Step 5: Solve for x
    x = 4,318,312.28/3,116.00
  6. Step 6: Final answer
    x = 1,385.85

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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.