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Finding the Fourth Proportional to 2,801.65, 4,201.54 and 1,414.10

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Solution

The fourth proportional to 2,801.65, 4,201.54 and 1,414.10 is: 2,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.65 : 4,201.54 = 1,414.10 : x
  2. Step 2: Convert to fraction form
    2,801.65/4,201.54 = 1,414.10/x
  3. Step 3: Cross multiply
    2,801.65x = 4,201.54 × 1,414.10
  4. Step 4: Simplify right side
    2,801.65x = 5,941,404.68
  5. Step 5: Solve for x
    x = 5,941,404.68/2,801.65
  6. Step 6: Final answer
    x = 2,120.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.