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Finding the Fourth Proportional to 1,702.47, 2,348.67 and 994.26

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Solution

The fourth proportional to 1,702.47, 2,348.67 and 994.26 is: 1,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.47 : 2,348.67 = 994.26 : x
  2. Step 2: Convert to fraction form
    1,702.47/2,348.67 = 994.26/x
  3. Step 3: Cross multiply
    1,702.47x = 2,348.67 × 994.26
  4. Step 4: Simplify right side
    1,702.47x = 2,335,188.63
  5. Step 5: Solve for x
    x = 2,335,188.63/1,702.47
  6. Step 6: Final answer
    x = 1,371.65

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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.