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Finding the Fourth Proportional to 3,059.40, 4,589.87 and 868.15

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Solution

The fourth proportional to 3,059.40, 4,589.87 and 868.15 is: 1,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.40 : 4,589.87 = 868.15 : x
  2. Step 2: Convert to fraction form
    3,059.40/4,589.87 = 868.15/x
  3. Step 3: Cross multiply
    3,059.40x = 4,589.87 × 868.15
  4. Step 4: Simplify right side
    3,059.40x = 3,984,697.04
  5. Step 5: Solve for x
    x = 3,984,697.04/3,059.40
  6. Step 6: Final answer
    x = 1,302.44

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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.