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Finding the Fourth Proportional to 2,974.71, 4,105.33 and 1,648.54

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Solution

The fourth proportional to 2,974.71, 4,105.33 and 1,648.54 is: 2,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.71 : 4,105.33 = 1,648.54 : x
  2. Step 2: Convert to fraction form
    2,974.71/4,105.33 = 1,648.54/x
  3. Step 3: Cross multiply
    2,974.71x = 4,105.33 × 1,648.54
  4. Step 4: Simplify right side
    2,974.71x = 6,767,800.72
  5. Step 5: Solve for x
    x = 6,767,800.72/2,974.71
  6. Step 6: Final answer
    x = 2,275.11

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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.