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Finding the Fourth Proportional to 2,882.64, 4,323.24 and 1,400.92

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Solution

The fourth proportional to 2,882.64, 4,323.24 and 1,400.92 is: 2,101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.64 : 4,323.24 = 1,400.92 : x
  2. Step 2: Convert to fraction form
    2,882.64/4,323.24 = 1,400.92/x
  3. Step 3: Cross multiply
    2,882.64x = 4,323.24 × 1,400.92
  4. Step 4: Simplify right side
    2,882.64x = 6,056,513.38
  5. Step 5: Solve for x
    x = 6,056,513.38/2,882.64
  6. Step 6: Final answer
    x = 2,101.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.