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Finding the Fourth Proportional to 1,662.43, 2,294.24 and 916.49

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Solution

The fourth proportional to 1,662.43, 2,294.24 and 916.49 is: 1,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.43 : 2,294.24 = 916.49 : x
  2. Step 2: Convert to fraction form
    1,662.43/2,294.24 = 916.49/x
  3. Step 3: Cross multiply
    1,662.43x = 2,294.24 × 916.49
  4. Step 4: Simplify right side
    1,662.43x = 2,102,648.02
  5. Step 5: Solve for x
    x = 2,102,648.02/1,662.43
  6. Step 6: Final answer
    x = 1,264.80

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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.