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Finding the Fourth Proportional to 1,827.10, 2,743.02 and 853.84

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Solution

The fourth proportional to 1,827.10, 2,743.02 and 853.84 is: 1,281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.10 : 2,743.02 = 853.84 : x
  2. Step 2: Convert to fraction form
    1,827.10/2,743.02 = 853.84/x
  3. Step 3: Cross multiply
    1,827.10x = 2,743.02 × 853.84
  4. Step 4: Simplify right side
    1,827.10x = 2,342,100.20
  5. Step 5: Solve for x
    x = 2,342,100.20/1,827.10
  6. Step 6: Final answer
    x = 1,281.87

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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.