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Finding the Fourth Proportional to 1,546.30, 2,134.30 and 956.49

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Solution

The fourth proportional to 1,546.30, 2,134.30 and 956.49 is: 1,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.30 : 2,134.30 = 956.49 : x
  2. Step 2: Convert to fraction form
    1,546.30/2,134.30 = 956.49/x
  3. Step 3: Cross multiply
    1,546.30x = 2,134.30 × 956.49
  4. Step 4: Simplify right side
    1,546.30x = 2,041,436.61
  5. Step 5: Solve for x
    x = 2,041,436.61/1,546.30
  6. Step 6: Final answer
    x = 1,320.21

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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.