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Finding the Fourth Proportional to 2,861.55, 3,948.48 and 1,682.46

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Solution

The fourth proportional to 2,861.55, 3,948.48 and 1,682.46 is: 2,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.55 : 3,948.48 = 1,682.46 : x
  2. Step 2: Convert to fraction form
    2,861.55/3,948.48 = 1,682.46/x
  3. Step 3: Cross multiply
    2,861.55x = 3,948.48 × 1,682.46
  4. Step 4: Simplify right side
    2,861.55x = 6,643,159.66
  5. Step 5: Solve for x
    x = 6,643,159.66/2,861.55
  6. Step 6: Final answer
    x = 2,321.52

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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.