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Finding the Fourth Proportional to 3,034.08, 4,188.06 and 2,089.08

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Solution

The fourth proportional to 3,034.08, 4,188.06 and 2,089.08 is: 2,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.08 : 4,188.06 = 2,089.08 : x
  2. Step 2: Convert to fraction form
    3,034.08/4,188.06 = 2,089.08/x
  3. Step 3: Cross multiply
    3,034.08x = 4,188.06 × 2,089.08
  4. Step 4: Simplify right side
    3,034.08x = 8,749,192.38
  5. Step 5: Solve for x
    x = 8,749,192.38/3,034.08
  6. Step 6: Final answer
    x = 2,883.64

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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.