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Finding the Fourth Proportional to 3,049.94, 4,207.19 and 1,870.17

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Solution

The fourth proportional to 3,049.94, 4,207.19 and 1,870.17 is: 2,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.94 : 4,207.19 = 1,870.17 : x
  2. Step 2: Convert to fraction form
    3,049.94/4,207.19 = 1,870.17/x
  3. Step 3: Cross multiply
    3,049.94x = 4,207.19 × 1,870.17
  4. Step 4: Simplify right side
    3,049.94x = 7,868,151.17
  5. Step 5: Solve for x
    x = 7,868,151.17/3,049.94
  6. Step 6: Final answer
    x = 2,579.78

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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.