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Finding the Fourth Proportional to 3,188.88, 4,775.76 and 2,031.12

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Solution

The fourth proportional to 3,188.88, 4,775.76 and 2,031.12 is: 3,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.88 : 4,775.76 = 2,031.12 : x
  2. Step 2: Convert to fraction form
    3,188.88/4,775.76 = 2,031.12/x
  3. Step 3: Cross multiply
    3,188.88x = 4,775.76 × 2,031.12
  4. Step 4: Simplify right side
    3,188.88x = 9,700,141.65
  5. Step 5: Solve for x
    x = 9,700,141.65/3,188.88
  6. Step 6: Final answer
    x = 3,041.86

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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.