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Finding the Fourth Proportional to 2,087.47, 3,129.98 and 1,394.92

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Solution

The fourth proportional to 2,087.47, 3,129.98 and 1,394.92 is: 2,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.47 : 3,129.98 = 1,394.92 : x
  2. Step 2: Convert to fraction form
    2,087.47/3,129.98 = 1,394.92/x
  3. Step 3: Cross multiply
    2,087.47x = 3,129.98 × 1,394.92
  4. Step 4: Simplify right side
    2,087.47x = 4,366,056.05
  5. Step 5: Solve for x
    x = 4,366,056.05/2,087.47
  6. Step 6: Final answer
    x = 2,091.56

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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.