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Finding the Fourth Proportional to 2,240.27, 3,360.80 and 853.95

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Solution

The fourth proportional to 2,240.27, 3,360.80 and 853.95 is: 1,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.27 : 3,360.80 = 853.95 : x
  2. Step 2: Convert to fraction form
    2,240.27/3,360.80 = 853.95/x
  3. Step 3: Cross multiply
    2,240.27x = 3,360.80 × 853.95
  4. Step 4: Simplify right side
    2,240.27x = 2,869,957.29
  5. Step 5: Solve for x
    x = 2,869,957.29/2,240.27
  6. Step 6: Final answer
    x = 1,281.08

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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.