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Finding the Fourth Proportional to 2,934.47, 4,049.06 and 1,674.95

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Solution

The fourth proportional to 2,934.47, 4,049.06 and 1,674.95 is: 2,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.47 : 4,049.06 = 1,674.95 : x
  2. Step 2: Convert to fraction form
    2,934.47/4,049.06 = 1,674.95/x
  3. Step 3: Cross multiply
    2,934.47x = 4,049.06 × 1,674.95
  4. Step 4: Simplify right side
    2,934.47x = 6,781,964.67
  5. Step 5: Solve for x
    x = 6,781,964.67/2,934.47
  6. Step 6: Final answer
    x = 2,311.14

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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.