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Finding the Fourth Proportional to 3,407.85, 4,702.76 and 2,081.55

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Solution

The fourth proportional to 3,407.85, 4,702.76 and 2,081.55 is: 2,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.85 : 4,702.76 = 2,081.55 : x
  2. Step 2: Convert to fraction form
    3,407.85/4,702.76 = 2,081.55/x
  3. Step 3: Cross multiply
    3,407.85x = 4,702.76 × 2,081.55
  4. Step 4: Simplify right side
    3,407.85x = 9,789,018.66
  5. Step 5: Solve for x
    x = 9,789,018.66/3,407.85
  6. Step 6: Final answer
    x = 2,872.49

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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.