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Finding the Fourth Proportional to 2,187.70, 3,281.55 and 2,102.65

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Solution

The fourth proportional to 2,187.70, 3,281.55 and 2,102.65 is: 3,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.70 : 3,281.55 = 2,102.65 : x
  2. Step 2: Convert to fraction form
    2,187.70/3,281.55 = 2,102.65/x
  3. Step 3: Cross multiply
    2,187.70x = 3,281.55 × 2,102.65
  4. Step 4: Simplify right side
    2,187.70x = 6,899,951.11
  5. Step 5: Solve for x
    x = 6,899,951.11/2,187.70
  6. Step 6: Final answer
    x = 3,153.98

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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.