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Finding the Fourth Proportional to 2,602.77, 3,899.30 and 2,024.43

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Solution

The fourth proportional to 2,602.77, 3,899.30 and 2,024.43 is: 3,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.77 : 3,899.30 = 2,024.43 : x
  2. Step 2: Convert to fraction form
    2,602.77/3,899.30 = 2,024.43/x
  3. Step 3: Cross multiply
    2,602.77x = 3,899.30 × 2,024.43
  4. Step 4: Simplify right side
    2,602.77x = 7,893,849.78
  5. Step 5: Solve for x
    x = 7,893,849.78/2,602.77
  6. Step 6: Final answer
    x = 3,032.86

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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.