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Finding the Fourth Proportional to 2,934.04, 4,392.42 and 1,776.28

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Solution

The fourth proportional to 2,934.04, 4,392.42 and 1,776.28 is: 2,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.04 : 4,392.42 = 1,776.28 : x
  2. Step 2: Convert to fraction form
    2,934.04/4,392.42 = 1,776.28/x
  3. Step 3: Cross multiply
    2,934.04x = 4,392.42 × 1,776.28
  4. Step 4: Simplify right side
    2,934.04x = 7,802,167.80
  5. Step 5: Solve for x
    x = 7,802,167.80/2,934.04
  6. Step 6: Final answer
    x = 2,659.19

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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.