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Finding the Fourth Proportional to 1,702.82, 2,348.61 and 1,467.17

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Solution

The fourth proportional to 1,702.82, 2,348.61 and 1,467.17 is: 2,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.82 : 2,348.61 = 1,467.17 : x
  2. Step 2: Convert to fraction form
    1,702.82/2,348.61 = 1,467.17/x
  3. Step 3: Cross multiply
    1,702.82x = 2,348.61 × 1,467.17
  4. Step 4: Simplify right side
    1,702.82x = 3,445,810.13
  5. Step 5: Solve for x
    x = 3,445,810.13/1,702.82
  6. Step 6: Final answer
    x = 2,023.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.