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Finding the Fourth Proportional to 2,934.54, 4,048.14 and 2,375.64

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Solution

The fourth proportional to 2,934.54, 4,048.14 and 2,375.64 is: 3,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.54 : 4,048.14 = 2,375.64 : x
  2. Step 2: Convert to fraction form
    2,934.54/4,048.14 = 2,375.64/x
  3. Step 3: Cross multiply
    2,934.54x = 4,048.14 × 2,375.64
  4. Step 4: Simplify right side
    2,934.54x = 9,616,923.31
  5. Step 5: Solve for x
    x = 9,616,923.31/2,934.54
  6. Step 6: Final answer
    x = 3,277.15

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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.