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Finding the Fourth Proportional to 2,270.87, 3,134.14 and 1,387.19

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Solution

The fourth proportional to 2,270.87, 3,134.14 and 1,387.19 is: 1,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.87 : 3,134.14 = 1,387.19 : x
  2. Step 2: Convert to fraction form
    2,270.87/3,134.14 = 1,387.19/x
  3. Step 3: Cross multiply
    2,270.87x = 3,134.14 × 1,387.19
  4. Step 4: Simplify right side
    2,270.87x = 4,347,647.67
  5. Step 5: Solve for x
    x = 4,347,647.67/2,270.87
  6. Step 6: Final answer
    x = 1,914.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.