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Finding the Fourth Proportional to 2,187.18, 3,281.10 and 726

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Solution

The fourth proportional to 2,187.18, 3,281.10 and 726 is: 1,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.18 : 3,281.10 = 726 : x
  2. Step 2: Convert to fraction form
    2,187.18/3,281.10 = 726/x
  3. Step 3: Cross multiply
    2,187.18x = 3,281.10 × 726
  4. Step 4: Simplify right side
    2,187.18x = 2,382,078.60
  5. Step 5: Solve for x
    x = 2,382,078.60/2,187.18
  6. Step 6: Final answer
    x = 1,089.11

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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.