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Finding the Fourth Proportional to 1,662.69, 2,294.48 and 916.64

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Solution

The fourth proportional to 1,662.69, 2,294.48 and 916.64 is: 1,264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.69 : 2,294.48 = 916.64 : x
  2. Step 2: Convert to fraction form
    1,662.69/2,294.48 = 916.64/x
  3. Step 3: Cross multiply
    1,662.69x = 2,294.48 × 916.64
  4. Step 4: Simplify right side
    1,662.69x = 2,103,198.38
  5. Step 5: Solve for x
    x = 2,103,198.38/1,662.69
  6. Step 6: Final answer
    x = 1,264.94

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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.