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Finding the Fourth Proportional to 1,702.14, 2,349.13 and 956.17

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Solution

The fourth proportional to 1,702.14, 2,349.13 and 956.17 is: 1,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.14 : 2,349.13 = 956.17 : x
  2. Step 2: Convert to fraction form
    1,702.14/2,349.13 = 956.17/x
  3. Step 3: Cross multiply
    1,702.14x = 2,349.13 × 956.17
  4. Step 4: Simplify right side
    1,702.14x = 2,246,167.63
  5. Step 5: Solve for x
    x = 2,246,167.63/1,702.14
  6. Step 6: Final answer
    x = 1,319.61

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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.