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Finding the Fourth Proportional to 2,934, 4,048.92 and 1,607.71

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Solution

The fourth proportional to 2,934, 4,048.92 and 1,607.71 is: 2,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934 : 4,048.92 = 1,607.71 : x
  2. Step 2: Convert to fraction form
    2,934/4,048.92 = 1,607.71/x
  3. Step 3: Cross multiply
    2,934x = 4,048.92 × 1,607.71
  4. Step 4: Simplify right side
    2,934x = 6,509,479.05
  5. Step 5: Solve for x
    x = 6,509,479.05/2,934
  6. Step 6: Final answer
    x = 2,218.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.