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Finding the Fourth Proportional to 2,872, 4,300.32 and 2,045.92

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Solution

The fourth proportional to 2,872, 4,300.32 and 2,045.92 is: 3,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872 : 4,300.32 = 2,045.92 : x
  2. Step 2: Convert to fraction form
    2,872/4,300.32 = 2,045.92/x
  3. Step 3: Cross multiply
    2,872x = 4,300.32 × 2,045.92
  4. Step 4: Simplify right side
    2,872x = 8,798,110.69
  5. Step 5: Solve for x
    x = 8,798,110.69/2,872
  6. Step 6: Final answer
    x = 3,063.41

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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.