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Finding the Fourth Proportional to 1,549.71, 2,138.64 and 886.62

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Solution

The fourth proportional to 1,549.71, 2,138.64 and 886.62 is: 1,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.71 : 2,138.64 = 886.62 : x
  2. Step 2: Convert to fraction form
    1,549.71/2,138.64 = 886.62/x
  3. Step 3: Cross multiply
    1,549.71x = 2,138.64 × 886.62
  4. Step 4: Simplify right side
    1,549.71x = 1,896,165.69
  5. Step 5: Solve for x
    x = 1,896,165.69/1,549.71
  6. Step 6: Final answer
    x = 1,223.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.