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Finding the Fourth Proportional to 2,725.98, 4,084.10 and 1,856.04

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Solution

The fourth proportional to 2,725.98, 4,084.10 and 1,856.04 is: 2,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.98 : 4,084.10 = 1,856.04 : x
  2. Step 2: Convert to fraction form
    2,725.98/4,084.10 = 1,856.04/x
  3. Step 3: Cross multiply
    2,725.98x = 4,084.10 × 1,856.04
  4. Step 4: Simplify right side
    2,725.98x = 7,580,252.96
  5. Step 5: Solve for x
    x = 7,580,252.96/2,725.98
  6. Step 6: Final answer
    x = 2,780.74

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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.