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Finding the Fourth Proportional to 2,609.34, 3,913.62 and 854.52

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Solution

The fourth proportional to 2,609.34, 3,913.62 and 854.52 is: 1,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.34 : 3,913.62 = 854.52 : x
  2. Step 2: Convert to fraction form
    2,609.34/3,913.62 = 854.52/x
  3. Step 3: Cross multiply
    2,609.34x = 3,913.62 × 854.52
  4. Step 4: Simplify right side
    2,609.34x = 3,344,266.56
  5. Step 5: Solve for x
    x = 3,344,266.56/2,609.34
  6. Step 6: Final answer
    x = 1,281.65

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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.