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Finding the Fourth Proportional to 2,274.46, 3,411.24 and 888.40

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Solution

The fourth proportional to 2,274.46, 3,411.24 and 888.40 is: 1,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.46 : 3,411.24 = 888.40 : x
  2. Step 2: Convert to fraction form
    2,274.46/3,411.24 = 888.40/x
  3. Step 3: Cross multiply
    2,274.46x = 3,411.24 × 888.40
  4. Step 4: Simplify right side
    2,274.46x = 3,030,545.62
  5. Step 5: Solve for x
    x = 3,030,545.62/2,274.46
  6. Step 6: Final answer
    x = 1,332.42

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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.