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Finding the Fourth Proportional to 2,934.01, 4,401.30 and 854.03

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Solution

The fourth proportional to 2,934.01, 4,401.30 and 854.03 is: 1,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.01 : 4,401.30 = 854.03 : x
  2. Step 2: Convert to fraction form
    2,934.01/4,401.30 = 854.03/x
  3. Step 3: Cross multiply
    2,934.01x = 4,401.30 × 854.03
  4. Step 4: Simplify right side
    2,934.01x = 3,758,853.24
  5. Step 5: Solve for x
    x = 3,758,853.24/2,934.01
  6. Step 6: Final answer
    x = 1,281.13

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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.