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Finding the Fourth Proportional to 2,609.56, 3,913.35 and 854.14

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Solution

The fourth proportional to 2,609.56, 3,913.35 and 854.14 is: 1,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.56 : 3,913.35 = 854.14 : x
  2. Step 2: Convert to fraction form
    2,609.56/3,913.35 = 854.14/x
  3. Step 3: Cross multiply
    2,609.56x = 3,913.35 × 854.14
  4. Step 4: Simplify right side
    2,609.56x = 3,342,548.77
  5. Step 5: Solve for x
    x = 3,342,548.77/2,609.56
  6. Step 6: Final answer
    x = 1,280.89

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1.5x scale

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.