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Finding the Fourth Proportional to 3,182.88, 4,390.02 and 2,133.12

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Solution

The fourth proportional to 3,182.88, 4,390.02 and 2,133.12 is: 2,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.88 : 4,390.02 = 2,133.12 : x
  2. Step 2: Convert to fraction form
    3,182.88/4,390.02 = 2,133.12/x
  3. Step 3: Cross multiply
    3,182.88x = 4,390.02 × 2,133.12
  4. Step 4: Simplify right side
    3,182.88x = 9,364,439.46
  5. Step 5: Solve for x
    x = 9,364,439.46/3,182.88
  6. Step 6: Final answer
    x = 2,942.13

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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.