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Finding the Fourth Proportional to 3,182.32, 4,391.64 and 1,785.04

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Solution

The fourth proportional to 3,182.32, 4,391.64 and 1,785.04 is: 2,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.32 : 4,391.64 = 1,785.04 : x
  2. Step 2: Convert to fraction form
    3,182.32/4,391.64 = 1,785.04/x
  3. Step 3: Cross multiply
    3,182.32x = 4,391.64 × 1,785.04
  4. Step 4: Simplify right side
    3,182.32x = 7,839,253.07
  5. Step 5: Solve for x
    x = 7,839,253.07/3,182.32
  6. Step 6: Final answer
    x = 2,463.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.