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Finding the Fourth Proportional to 2,125.98, 3,188.49 and 1,843.74

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Solution

The fourth proportional to 2,125.98, 3,188.49 and 1,843.74 is: 2,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.98 : 3,188.49 = 1,843.74 : x
  2. Step 2: Convert to fraction form
    2,125.98/3,188.49 = 1,843.74/x
  3. Step 3: Cross multiply
    2,125.98x = 3,188.49 × 1,843.74
  4. Step 4: Simplify right side
    2,125.98x = 5,878,746.55
  5. Step 5: Solve for x
    x = 5,878,746.55/2,125.98
  6. Step 6: Final answer
    x = 2,765.19

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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.