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Finding the Fourth Proportional to 2,301.66, 3,452.40 and 658.17

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Solution

The fourth proportional to 2,301.66, 3,452.40 and 658.17 is: 987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.66 : 3,452.40 = 658.17 : x
  2. Step 2: Convert to fraction form
    2,301.66/3,452.40 = 658.17/x
  3. Step 3: Cross multiply
    2,301.66x = 3,452.40 × 658.17
  4. Step 4: Simplify right side
    2,301.66x = 2,272,266.11
  5. Step 5: Solve for x
    x = 2,272,266.11/2,301.66
  6. Step 6: Final answer
    x = 987.23

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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.