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Finding the Fourth Proportional to 1,702.41, 2,349.26 and 956.43

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Solution

The fourth proportional to 1,702.41, 2,349.26 and 956.43 is: 1,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.41 : 2,349.26 = 956.43 : x
  2. Step 2: Convert to fraction form
    1,702.41/2,349.26 = 956.43/x
  3. Step 3: Cross multiply
    1,702.41x = 2,349.26 × 956.43
  4. Step 4: Simplify right side
    1,702.41x = 2,246,897.96
  5. Step 5: Solve for x
    x = 2,246,897.96/1,702.41
  6. Step 6: Final answer
    x = 1,319.83

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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.