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Finding the Fourth Proportional to 2,674.52, 4,007.46 and 1,029.14

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Solution

The fourth proportional to 2,674.52, 4,007.46 and 1,029.14 is: 1,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.52 : 4,007.46 = 1,029.14 : x
  2. Step 2: Convert to fraction form
    2,674.52/4,007.46 = 1,029.14/x
  3. Step 3: Cross multiply
    2,674.52x = 4,007.46 × 1,029.14
  4. Step 4: Simplify right side
    2,674.52x = 4,124,237.38
  5. Step 5: Solve for x
    x = 4,124,237.38/2,674.52
  6. Step 6: Final answer
    x = 1,542.05

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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.