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Finding the Fourth Proportional to 1,609.07, 2,414.61 and 514.25

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Solution

The fourth proportional to 1,609.07, 2,414.61 and 514.25 is: 771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.07 : 2,414.61 = 514.25 : x
  2. Step 2: Convert to fraction form
    1,609.07/2,414.61 = 514.25/x
  3. Step 3: Cross multiply
    1,609.07x = 2,414.61 × 514.25
  4. Step 4: Simplify right side
    1,609.07x = 1,241,710.17
  5. Step 5: Solve for x
    x = 1,241,710.17/1,609.07
  6. Step 6: Final answer
    x = 771.70

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