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Finding the Fourth Proportional to 2,610.59, 3,913.13 and 966.08

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Solution

The fourth proportional to 2,610.59, 3,913.13 and 966.08 is: 1,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.59 : 3,913.13 = 966.08 : x
  2. Step 2: Convert to fraction form
    2,610.59/3,913.13 = 966.08/x
  3. Step 3: Cross multiply
    2,610.59x = 3,913.13 × 966.08
  4. Step 4: Simplify right side
    2,610.59x = 3,780,372.23
  5. Step 5: Solve for x
    x = 3,780,372.23/2,610.59
  6. Step 6: Final answer
    x = 1,448.09

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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.