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Finding the Fourth Proportional to 2,720.59, 4,078.03 and 1,140.21

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Solution

The fourth proportional to 2,720.59, 4,078.03 and 1,140.21 is: 1,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.59 : 4,078.03 = 1,140.21 : x
  2. Step 2: Convert to fraction form
    2,720.59/4,078.03 = 1,140.21/x
  3. Step 3: Cross multiply
    2,720.59x = 4,078.03 × 1,140.21
  4. Step 4: Simplify right side
    2,720.59x = 4,649,807.74
  5. Step 5: Solve for x
    x = 4,649,807.74/2,720.59
  6. Step 6: Final answer
    x = 1,709.12

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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.