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Finding the Fourth Proportional to 2,029.61, 3,044.24 and 642.74

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Solution

The fourth proportional to 2,029.61, 3,044.24 and 642.74 is: 964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.61 : 3,044.24 = 642.74 : x
  2. Step 2: Convert to fraction form
    2,029.61/3,044.24 = 642.74/x
  3. Step 3: Cross multiply
    2,029.61x = 3,044.24 × 642.74
  4. Step 4: Simplify right side
    2,029.61x = 1,956,647.80
  5. Step 5: Solve for x
    x = 1,956,647.80/2,029.61
  6. Step 6: Final answer
    x = 964.05

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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.