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Finding the Fourth Proportional to 3,291.12, 4,939.74 and 1,649.52

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Solution

The fourth proportional to 3,291.12, 4,939.74 and 1,649.52 is: 2,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.12 : 4,939.74 = 1,649.52 : x
  2. Step 2: Convert to fraction form
    3,291.12/4,939.74 = 1,649.52/x
  3. Step 3: Cross multiply
    3,291.12x = 4,939.74 × 1,649.52
  4. Step 4: Simplify right side
    3,291.12x = 8,148,199.92
  5. Step 5: Solve for x
    x = 8,148,199.92/3,291.12
  6. Step 6: Final answer
    x = 2,475.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.