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Finding the Fourth Proportional to 3,049.86, 4,208.14 and 1,987.52

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Solution

The fourth proportional to 3,049.86, 4,208.14 and 1,987.52 is: 2,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.86 : 4,208.14 = 1,987.52 : x
  2. Step 2: Convert to fraction form
    3,049.86/4,208.14 = 1,987.52/x
  3. Step 3: Cross multiply
    3,049.86x = 4,208.14 × 1,987.52
  4. Step 4: Simplify right side
    3,049.86x = 8,363,762.41
  5. Step 5: Solve for x
    x = 8,363,762.41/3,049.86
  6. Step 6: Final answer
    x = 2,742.34

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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.