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Finding the Fourth Proportional to 2,709.83, 4,065.65 and 1,247.88

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Solution

The fourth proportional to 2,709.83, 4,065.65 and 1,247.88 is: 1,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.83 : 4,065.65 = 1,247.88 : x
  2. Step 2: Convert to fraction form
    2,709.83/4,065.65 = 1,247.88/x
  3. Step 3: Cross multiply
    2,709.83x = 4,065.65 × 1,247.88
  4. Step 4: Simplify right side
    2,709.83x = 5,073,443.32
  5. Step 5: Solve for x
    x = 5,073,443.32/2,709.83
  6. Step 6: Final answer
    x = 1,872.24

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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.