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Finding the Fourth Proportional to 2,983.63, 4,471.29 and 2,542.59

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Solution

The fourth proportional to 2,983.63, 4,471.29 and 2,542.59 is: 3,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.63 : 4,471.29 = 2,542.59 : x
  2. Step 2: Convert to fraction form
    2,983.63/4,471.29 = 2,542.59/x
  3. Step 3: Cross multiply
    2,983.63x = 4,471.29 × 2,542.59
  4. Step 4: Simplify right side
    2,983.63x = 11,368,657.24
  5. Step 5: Solve for x
    x = 11,368,657.24/2,983.63
  6. Step 6: Final answer
    x = 3,810.34

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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.