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Finding the Fourth Proportional to 1,948.22, 2,908.12 and 1,702.18

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Solution

The fourth proportional to 1,948.22, 2,908.12 and 1,702.18 is: 2,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.22 : 2,908.12 = 1,702.18 : x
  2. Step 2: Convert to fraction form
    1,948.22/2,908.12 = 1,702.18/x
  3. Step 3: Cross multiply
    1,948.22x = 2,908.12 × 1,702.18
  4. Step 4: Simplify right side
    1,948.22x = 4,950,146.27
  5. Step 5: Solve for x
    x = 4,950,146.27/1,948.22
  6. Step 6: Final answer
    x = 2,540.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.