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Finding the Fourth Proportional to 2,834.06, 3,910.98 and 1,575.08

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Solution

The fourth proportional to 2,834.06, 3,910.98 and 1,575.08 is: 2,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.06 : 3,910.98 = 1,575.08 : x
  2. Step 2: Convert to fraction form
    2,834.06/3,910.98 = 1,575.08/x
  3. Step 3: Cross multiply
    2,834.06x = 3,910.98 × 1,575.08
  4. Step 4: Simplify right side
    2,834.06x = 6,160,106.38
  5. Step 5: Solve for x
    x = 6,160,106.38/2,834.06
  6. Step 6: Final answer
    x = 2,173.60

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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.