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Finding the Fourth Proportional to 2,711.76, 4,065.36 and 1,887.60

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Solution

The fourth proportional to 2,711.76, 4,065.36 and 1,887.60 is: 2,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.76 : 4,065.36 = 1,887.60 : x
  2. Step 2: Convert to fraction form
    2,711.76/4,065.36 = 1,887.60/x
  3. Step 3: Cross multiply
    2,711.76x = 4,065.36 × 1,887.60
  4. Step 4: Simplify right side
    2,711.76x = 7,673,773.54
  5. Step 5: Solve for x
    x = 7,673,773.54/2,711.76
  6. Step 6: Final answer
    x = 2,829.81

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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.