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Finding the Fourth Proportional to 1,686.97, 2,529.64 and 956.35

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Solution

The fourth proportional to 1,686.97, 2,529.64 and 956.35 is: 1,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.97 : 2,529.64 = 956.35 : x
  2. Step 2: Convert to fraction form
    1,686.97/2,529.64 = 956.35/x
  3. Step 3: Cross multiply
    1,686.97x = 2,529.64 × 956.35
  4. Step 4: Simplify right side
    1,686.97x = 2,419,203.78
  5. Step 5: Solve for x
    x = 2,419,203.78/1,686.97
  6. Step 6: Final answer
    x = 1,434.06

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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.