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Finding the Fourth Proportional to 1,609.36, 2,414.52 and 924.88

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Solution

The fourth proportional to 1,609.36, 2,414.52 and 924.88 is: 1,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.36 : 2,414.52 = 924.88 : x
  2. Step 2: Convert to fraction form
    1,609.36/2,414.52 = 924.88/x
  3. Step 3: Cross multiply
    1,609.36x = 2,414.52 × 924.88
  4. Step 4: Simplify right side
    1,609.36x = 2,233,124.56
  5. Step 5: Solve for x
    x = 2,233,124.56/1,609.36
  6. Step 6: Final answer
    x = 1,387.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.