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Finding the Fourth Proportional to 2,189.48, 3,275.70 and 2,005.62

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Solution

The fourth proportional to 2,189.48, 3,275.70 and 2,005.62 is: 3,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.48 : 3,275.70 = 2,005.62 : x
  2. Step 2: Convert to fraction form
    2,189.48/3,275.70 = 2,005.62/x
  3. Step 3: Cross multiply
    2,189.48x = 3,275.70 × 2,005.62
  4. Step 4: Simplify right side
    2,189.48x = 6,569,809.43
  5. Step 5: Solve for x
    x = 6,569,809.43/2,189.48
  6. Step 6: Final answer
    x = 3,000.63

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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.