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Finding the Fourth Proportional to 1,702.41, 2,349.32 and 956.37

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Solution

The fourth proportional to 1,702.41, 2,349.32 and 956.37 is: 1,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.41 : 2,349.32 = 956.37 : x
  2. Step 2: Convert to fraction form
    1,702.41/2,349.32 = 956.37/x
  3. Step 3: Cross multiply
    1,702.41x = 2,349.32 × 956.37
  4. Step 4: Simplify right side
    1,702.41x = 2,246,814.39
  5. Step 5: Solve for x
    x = 2,246,814.39/1,702.41
  6. Step 6: Final answer
    x = 1,319.78

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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.