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Finding the Fourth Proportional to 3,074.06, 4,240.46 and 1,894.30

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Solution

The fourth proportional to 3,074.06, 4,240.46 and 1,894.30 is: 2,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.06 : 4,240.46 = 1,894.30 : x
  2. Step 2: Convert to fraction form
    3,074.06/4,240.46 = 1,894.30/x
  3. Step 3: Cross multiply
    3,074.06x = 4,240.46 × 1,894.30
  4. Step 4: Simplify right side
    3,074.06x = 8,032,703.38
  5. Step 5: Solve for x
    x = 8,032,703.38/3,074.06
  6. Step 6: Final answer
    x = 2,613.06

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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.