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Finding the Fourth Proportional to 2,798.72, 3,862.17 and 1,539.80

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Solution

The fourth proportional to 2,798.72, 3,862.17 and 1,539.80 is: 2,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.72 : 3,862.17 = 1,539.80 : x
  2. Step 2: Convert to fraction form
    2,798.72/3,862.17 = 1,539.80/x
  3. Step 3: Cross multiply
    2,798.72x = 3,862.17 × 1,539.80
  4. Step 4: Simplify right side
    2,798.72x = 5,946,969.37
  5. Step 5: Solve for x
    x = 5,946,969.37/2,798.72
  6. Step 6: Final answer
    x = 2,124.89

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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.