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Finding the Fourth Proportional to 2,899.47, 4,002.23 and 1,839

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Solution

The fourth proportional to 2,899.47, 4,002.23 and 1,839 is: 2,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.47 : 4,002.23 = 1,839 : x
  2. Step 2: Convert to fraction form
    2,899.47/4,002.23 = 1,839/x
  3. Step 3: Cross multiply
    2,899.47x = 4,002.23 × 1,839
  4. Step 4: Simplify right side
    2,899.47x = 7,360,091.78
  5. Step 5: Solve for x
    x = 7,360,091.78/2,899.47
  6. Step 6: Final answer
    x = 2,538.43

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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.