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Finding the Fourth Proportional to 3,494.06, 4,821.23 and 2,078.59

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Solution

The fourth proportional to 3,494.06, 4,821.23 and 2,078.59 is: 2,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.06 : 4,821.23 = 2,078.59 : x
  2. Step 2: Convert to fraction form
    3,494.06/4,821.23 = 2,078.59/x
  3. Step 3: Cross multiply
    3,494.06x = 4,821.23 × 2,078.59
  4. Step 4: Simplify right side
    3,494.06x = 10,021,325.97
  5. Step 5: Solve for x
    x = 10,021,325.97/3,494.06
  6. Step 6: Final answer
    x = 2,868.10

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1.5x scale

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.