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Finding the Fourth Proportional to 2,125.46, 3,188.33 and 891.63

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Solution

The fourth proportional to 2,125.46, 3,188.33 and 891.63 is: 1,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.46 : 3,188.33 = 891.63 : x
  2. Step 2: Convert to fraction form
    2,125.46/3,188.33 = 891.63/x
  3. Step 3: Cross multiply
    2,125.46x = 3,188.33 × 891.63
  4. Step 4: Simplify right side
    2,125.46x = 2,842,806.22
  5. Step 5: Solve for x
    x = 2,842,806.22/2,125.46
  6. Step 6: Final answer
    x = 1,337.50

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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.