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Finding the Fourth Proportional to 2,301.96, 3,452.46 and 658.06

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Solution

The fourth proportional to 2,301.96, 3,452.46 and 658.06 is: 986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.96 : 3,452.46 = 658.06 : x
  2. Step 2: Convert to fraction form
    2,301.96/3,452.46 = 658.06/x
  3. Step 3: Cross multiply
    2,301.96x = 3,452.46 × 658.06
  4. Step 4: Simplify right side
    2,301.96x = 2,271,925.83
  5. Step 5: Solve for x
    x = 2,271,925.83/2,301.96
  6. Step 6: Final answer
    x = 986.95

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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.