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Finding the Fourth Proportional to 2,029.52, 3,044.28 and 642.98

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Solution

The fourth proportional to 2,029.52, 3,044.28 and 642.98 is: 964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.52 : 3,044.28 = 642.98 : x
  2. Step 2: Convert to fraction form
    2,029.52/3,044.28 = 642.98/x
  3. Step 3: Cross multiply
    2,029.52x = 3,044.28 × 642.98
  4. Step 4: Simplify right side
    2,029.52x = 1,957,411.15
  5. Step 5: Solve for x
    x = 1,957,411.15/2,029.52
  6. Step 6: Final answer
    x = 964.47

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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.