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Finding the Fourth Proportional to 1,662.97, 2,294.91 and 916.96

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Solution

The fourth proportional to 1,662.97, 2,294.91 and 916.96 is: 1,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.97 : 2,294.91 = 916.96 : x
  2. Step 2: Convert to fraction form
    1,662.97/2,294.91 = 916.96/x
  3. Step 3: Cross multiply
    1,662.97x = 2,294.91 × 916.96
  4. Step 4: Simplify right side
    1,662.97x = 2,104,340.67
  5. Step 5: Solve for x
    x = 2,104,340.67/1,662.97
  6. Step 6: Final answer
    x = 1,265.41

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Why These Related Problems?

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