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Finding the Fourth Proportional to 2,006.53, 2,769.47 and 1,306.69

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Solution

The fourth proportional to 2,006.53, 2,769.47 and 1,306.69 is: 1,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.53 : 2,769.47 = 1,306.69 : x
  2. Step 2: Convert to fraction form
    2,006.53/2,769.47 = 1,306.69/x
  3. Step 3: Cross multiply
    2,006.53x = 2,769.47 × 1,306.69
  4. Step 4: Simplify right side
    2,006.53x = 3,618,838.75
  5. Step 5: Solve for x
    x = 3,618,838.75/2,006.53
  6. Step 6: Final answer
    x = 1,803.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.