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Finding the Fourth Proportional to 2,912.40, 4,366.98 and 2,566.53

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Solution

The fourth proportional to 2,912.40, 4,366.98 and 2,566.53 is: 3,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.40 : 4,366.98 = 2,566.53 : x
  2. Step 2: Convert to fraction form
    2,912.40/4,366.98 = 2,566.53/x
  3. Step 3: Cross multiply
    2,912.40x = 4,366.98 × 2,566.53
  4. Step 4: Simplify right side
    2,912.40x = 11,207,985.18
  5. Step 5: Solve for x
    x = 11,207,985.18/2,912.40
  6. Step 6: Final answer
    x = 3,848.37

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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.