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Finding the Fourth Proportional to 2,798.80, 3,862.29 and 1,587.46

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Solution

The fourth proportional to 2,798.80, 3,862.29 and 1,587.46 is: 2,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.80 : 3,862.29 = 1,587.46 : x
  2. Step 2: Convert to fraction form
    2,798.80/3,862.29 = 1,587.46/x
  3. Step 3: Cross multiply
    2,798.80x = 3,862.29 × 1,587.46
  4. Step 4: Simplify right side
    2,798.80x = 6,131,230.88
  5. Step 5: Solve for x
    x = 6,131,230.88/2,798.80
  6. Step 6: Final answer
    x = 2,190.66

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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.