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Finding the Fourth Proportional to 2,881.85, 3,975.46 and 1,702.13

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Solution

The fourth proportional to 2,881.85, 3,975.46 and 1,702.13 is: 2,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.85 : 3,975.46 = 1,702.13 : x
  2. Step 2: Convert to fraction form
    2,881.85/3,975.46 = 1,702.13/x
  3. Step 3: Cross multiply
    2,881.85x = 3,975.46 × 1,702.13
  4. Step 4: Simplify right side
    2,881.85x = 6,766,725.60
  5. Step 5: Solve for x
    x = 6,766,725.60/2,881.85
  6. Step 6: Final answer
    x = 2,348.05

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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.