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Finding the Fourth Proportional to 1,662.56, 2,294.44 and 916.52

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Solution

The fourth proportional to 1,662.56, 2,294.44 and 916.52 is: 1,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.56 : 2,294.44 = 916.52 : x
  2. Step 2: Convert to fraction form
    1,662.56/2,294.44 = 916.52/x
  3. Step 3: Cross multiply
    1,662.56x = 2,294.44 × 916.52
  4. Step 4: Simplify right side
    1,662.56x = 2,102,900.15
  5. Step 5: Solve for x
    x = 2,102,900.15/1,662.56
  6. Step 6: Final answer
    x = 1,264.86

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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.