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Finding the Fourth Proportional to 2,798.85, 3,862.33 and 1,539.91

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Solution

The fourth proportional to 2,798.85, 3,862.33 and 1,539.91 is: 2,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.85 : 3,862.33 = 1,539.91 : x
  2. Step 2: Convert to fraction form
    2,798.85/3,862.33 = 1,539.91/x
  3. Step 3: Cross multiply
    2,798.85x = 3,862.33 × 1,539.91
  4. Step 4: Simplify right side
    2,798.85x = 5,947,625.13
  5. Step 5: Solve for x
    x = 5,947,625.13/2,798.85
  6. Step 6: Final answer
    x = 2,125.02

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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.