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Finding the Fourth Proportional to 2,177.65, 3,006.20 and 1,549.49

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Solution

The fourth proportional to 2,177.65, 3,006.20 and 1,549.49 is: 2,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.65 : 3,006.20 = 1,549.49 : x
  2. Step 2: Convert to fraction form
    2,177.65/3,006.20 = 1,549.49/x
  3. Step 3: Cross multiply
    2,177.65x = 3,006.20 × 1,549.49
  4. Step 4: Simplify right side
    2,177.65x = 4,658,069.09
  5. Step 5: Solve for x
    x = 4,658,069.09/2,177.65
  6. Step 6: Final answer
    x = 2,139.04

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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.