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Finding the Fourth Proportional to 2,709.03, 4,056.24 and 1,407.78

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Solution

The fourth proportional to 2,709.03, 4,056.24 and 1,407.78 is: 2,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.03 : 4,056.24 = 1,407.78 : x
  2. Step 2: Convert to fraction form
    2,709.03/4,056.24 = 1,407.78/x
  3. Step 3: Cross multiply
    2,709.03x = 4,056.24 × 1,407.78
  4. Step 4: Simplify right side
    2,709.03x = 5,710,293.55
  5. Step 5: Solve for x
    x = 5,710,293.55/2,709.03
  6. Step 6: Final answer
    x = 2,107.87

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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.