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Finding the Fourth Proportional to 2,798.89, 3,862.46 and 1,540.06

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Solution

The fourth proportional to 2,798.89, 3,862.46 and 1,540.06 is: 2,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.89 : 3,862.46 = 1,540.06 : x
  2. Step 2: Convert to fraction form
    2,798.89/3,862.46 = 1,540.06/x
  3. Step 3: Cross multiply
    2,798.89x = 3,862.46 × 1,540.06
  4. Step 4: Simplify right side
    2,798.89x = 5,948,414.34
  5. Step 5: Solve for x
    x = 5,948,414.34/2,798.89
  6. Step 6: Final answer
    x = 2,125.28

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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.