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Finding the Fourth Proportional to 2,267.57, 3,398.65 and 880.18

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Solution

The fourth proportional to 2,267.57, 3,398.65 and 880.18 is: 1,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.57 : 3,398.65 = 880.18 : x
  2. Step 2: Convert to fraction form
    2,267.57/3,398.65 = 880.18/x
  3. Step 3: Cross multiply
    2,267.57x = 3,398.65 × 880.18
  4. Step 4: Simplify right side
    2,267.57x = 2,991,423.76
  5. Step 5: Solve for x
    x = 2,991,423.76/2,267.57
  6. Step 6: Final answer
    x = 1,319.22

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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.