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Finding the Fourth Proportional to 2,539.76, 3,803.42 and 2,293.52

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Solution

The fourth proportional to 2,539.76, 3,803.42 and 2,293.52 is: 3,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.76 : 3,803.42 = 2,293.52 : x
  2. Step 2: Convert to fraction form
    2,539.76/3,803.42 = 2,293.52/x
  3. Step 3: Cross multiply
    2,539.76x = 3,803.42 × 2,293.52
  4. Step 4: Simplify right side
    2,539.76x = 8,723,219.84
  5. Step 5: Solve for x
    x = 8,723,219.84/2,539.76
  6. Step 6: Final answer
    x = 3,434.66

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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.