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Finding the Fourth Proportional to 2,030.52, 3,043.72 and 1,542.52

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Solution

The fourth proportional to 2,030.52, 3,043.72 and 1,542.52 is: 2,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.52 : 3,043.72 = 1,542.52 : x
  2. Step 2: Convert to fraction form
    2,030.52/3,043.72 = 1,542.52/x
  3. Step 3: Cross multiply
    2,030.52x = 3,043.72 × 1,542.52
  4. Step 4: Simplify right side
    2,030.52x = 4,694,998.97
  5. Step 5: Solve for x
    x = 4,694,998.97/2,030.52
  6. Step 6: Final answer
    x = 2,312.22

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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.