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Finding the Fourth Proportional to 2,748.68, 4,113.28 and 1,709.17

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Solution

The fourth proportional to 2,748.68, 4,113.28 and 1,709.17 is: 2,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.68 : 4,113.28 = 1,709.17 : x
  2. Step 2: Convert to fraction form
    2,748.68/4,113.28 = 1,709.17/x
  3. Step 3: Cross multiply
    2,748.68x = 4,113.28 × 1,709.17
  4. Step 4: Simplify right side
    2,748.68x = 7,030,286.63
  5. Step 5: Solve for x
    x = 7,030,286.63/2,748.68
  6. Step 6: Final answer
    x = 2,557.70

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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.