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Finding the Fourth Proportional to 1,702.40, 2,349.02 and 956.26

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Solution

The fourth proportional to 1,702.40, 2,349.02 and 956.26 is: 1,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.40 : 2,349.02 = 956.26 : x
  2. Step 2: Convert to fraction form
    1,702.40/2,349.02 = 956.26/x
  3. Step 3: Cross multiply
    1,702.40x = 2,349.02 × 956.26
  4. Step 4: Simplify right side
    1,702.40x = 2,246,273.87
  5. Step 5: Solve for x
    x = 2,246,273.87/1,702.40
  6. Step 6: Final answer
    x = 1,319.47

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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.