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Finding the Fourth Proportional to 3,009.46, 4,154.43 and 2,147.65

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Solution

The fourth proportional to 3,009.46, 4,154.43 and 2,147.65 is: 2,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.46 : 4,154.43 = 2,147.65 : x
  2. Step 2: Convert to fraction form
    3,009.46/4,154.43 = 2,147.65/x
  3. Step 3: Cross multiply
    3,009.46x = 4,154.43 × 2,147.65
  4. Step 4: Simplify right side
    3,009.46x = 8,922,261.59
  5. Step 5: Solve for x
    x = 8,922,261.59/3,009.46
  6. Step 6: Final answer
    x = 2,964.74

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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.