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Finding the Fourth Proportional to 2,948.50, 4,073.40 and 2,201.16

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Solution

The fourth proportional to 2,948.50, 4,073.40 and 2,201.16 is: 3,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.50 : 4,073.40 = 2,201.16 : x
  2. Step 2: Convert to fraction form
    2,948.50/4,073.40 = 2,201.16/x
  3. Step 3: Cross multiply
    2,948.50x = 4,073.40 × 2,201.16
  4. Step 4: Simplify right side
    2,948.50x = 8,966,217.79
  5. Step 5: Solve for x
    x = 8,966,217.79/2,948.50
  6. Step 6: Final answer
    x = 3,040.94

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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.