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Finding the Fourth Proportional to 3,034.57, 4,188.03 and 1,776.04

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Solution

The fourth proportional to 3,034.57, 4,188.03 and 1,776.04 is: 2,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.57 : 4,188.03 = 1,776.04 : x
  2. Step 2: Convert to fraction form
    3,034.57/4,188.03 = 1,776.04/x
  3. Step 3: Cross multiply
    3,034.57x = 4,188.03 × 1,776.04
  4. Step 4: Simplify right side
    3,034.57x = 7,438,087.86
  5. Step 5: Solve for x
    x = 7,438,087.86/3,034.57
  6. Step 6: Final answer
    x = 2,451.12

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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.