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Finding the Fourth Proportional to 2,006.52, 2,768.45 and 1,377.21

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Solution

The fourth proportional to 2,006.52, 2,768.45 and 1,377.21 is: 1,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.52 : 2,768.45 = 1,377.21 : x
  2. Step 2: Convert to fraction form
    2,006.52/2,768.45 = 1,377.21/x
  3. Step 3: Cross multiply
    2,006.52x = 2,768.45 × 1,377.21
  4. Step 4: Simplify right side
    2,006.52x = 3,812,719.76
  5. Step 5: Solve for x
    x = 3,812,719.76/2,006.52
  6. Step 6: Final answer
    x = 1,900.17

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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.