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Finding the Fourth Proportional to 2,252.40, 3,378.50 and 865.48

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Solution

The fourth proportional to 2,252.40, 3,378.50 and 865.48 is: 1,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.40 : 3,378.50 = 865.48 : x
  2. Step 2: Convert to fraction form
    2,252.40/3,378.50 = 865.48/x
  3. Step 3: Cross multiply
    2,252.40x = 3,378.50 × 865.48
  4. Step 4: Simplify right side
    2,252.40x = 2,924,011.41
  5. Step 5: Solve for x
    x = 2,924,011.41/2,252.40
  6. Step 6: Final answer
    x = 1,298.18

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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.