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Finding the Fourth Proportional to 2,006.73, 2,766.56 and 1,484.01

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Solution

The fourth proportional to 2,006.73, 2,766.56 and 1,484.01 is: 2,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.73 : 2,766.56 = 1,484.01 : x
  2. Step 2: Convert to fraction form
    2,006.73/2,766.56 = 1,484.01/x
  3. Step 3: Cross multiply
    2,006.73x = 2,766.56 × 1,484.01
  4. Step 4: Simplify right side
    2,006.73x = 4,105,595.29
  5. Step 5: Solve for x
    x = 4,105,595.29/2,006.73
  6. Step 6: Final answer
    x = 2,045.91

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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.