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Finding the Fourth Proportional to 3,022.80, 4,534.20 and 2,658.30

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Solution

The fourth proportional to 3,022.80, 4,534.20 and 2,658.30 is: 3,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.80 : 4,534.20 = 2,658.30 : x
  2. Step 2: Convert to fraction form
    3,022.80/4,534.20 = 2,658.30/x
  3. Step 3: Cross multiply
    3,022.80x = 4,534.20 × 2,658.30
  4. Step 4: Simplify right side
    3,022.80x = 12,053,263.86
  5. Step 5: Solve for x
    x = 12,053,263.86/3,022.80
  6. Step 6: Final answer
    x = 3,987.45

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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.