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Finding the Fourth Proportional to 2,702.19, 3,728.25 and 1,708.74

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Solution

The fourth proportional to 2,702.19, 3,728.25 and 1,708.74 is: 2,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.19 : 3,728.25 = 1,708.74 : x
  2. Step 2: Convert to fraction form
    2,702.19/3,728.25 = 1,708.74/x
  3. Step 3: Cross multiply
    2,702.19x = 3,728.25 × 1,708.74
  4. Step 4: Simplify right side
    2,702.19x = 6,370,609.91
  5. Step 5: Solve for x
    x = 6,370,609.91/2,702.19
  6. Step 6: Final answer
    x = 2,357.57

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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.