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Finding the Fourth Proportional to 2,091.76, 2,885.46 and 1,843.70

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Solution

The fourth proportional to 2,091.76, 2,885.46 and 1,843.70 is: 2,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.76 : 2,885.46 = 1,843.70 : x
  2. Step 2: Convert to fraction form
    2,091.76/2,885.46 = 1,843.70/x
  3. Step 3: Cross multiply
    2,091.76x = 2,885.46 × 1,843.70
  4. Step 4: Simplify right side
    2,091.76x = 5,319,901.26
  5. Step 5: Solve for x
    x = 5,319,901.26/2,091.76
  6. Step 6: Final answer
    x = 2,543.27

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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.