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Finding the Fourth Proportional to 2,129.46, 3,194.33 and 895.63

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Solution

The fourth proportional to 2,129.46, 3,194.33 and 895.63 is: 1,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.46 : 3,194.33 = 895.63 : x
  2. Step 2: Convert to fraction form
    2,129.46/3,194.33 = 895.63/x
  3. Step 3: Cross multiply
    2,129.46x = 3,194.33 × 895.63
  4. Step 4: Simplify right side
    2,129.46x = 2,860,937.78
  5. Step 5: Solve for x
    x = 2,860,937.78/2,129.46
  6. Step 6: Final answer
    x = 1,343.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.