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Finding the Fourth Proportional to 2,709.72, 4,063.14 and 1,247.63

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Solution

The fourth proportional to 2,709.72, 4,063.14 and 1,247.63 is: 1,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.72 : 4,063.14 = 1,247.63 : x
  2. Step 2: Convert to fraction form
    2,709.72/4,063.14 = 1,247.63/x
  3. Step 3: Cross multiply
    2,709.72x = 4,063.14 × 1,247.63
  4. Step 4: Simplify right side
    2,709.72x = 5,069,275.04
  5. Step 5: Solve for x
    x = 5,069,275.04/2,709.72
  6. Step 6: Final answer
    x = 1,870.77

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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.