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Finding the Fourth Proportional to 1,609.71, 2,414.36 and 514.10

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Solution

The fourth proportional to 1,609.71, 2,414.36 and 514.10 is: 771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.71 : 2,414.36 = 514.10 : x
  2. Step 2: Convert to fraction form
    1,609.71/2,414.36 = 514.10/x
  3. Step 3: Cross multiply
    1,609.71x = 2,414.36 × 514.10
  4. Step 4: Simplify right side
    1,609.71x = 1,241,207.83
  5. Step 5: Solve for x
    x = 1,241,207.83/1,609.71
  6. Step 6: Final answer
    x = 771.08

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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.