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Finding the Fourth Proportional to 2,124.60, 3,188.10 and 826.16

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Solution

The fourth proportional to 2,124.60, 3,188.10 and 826.16 is: 1,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.60 : 3,188.10 = 826.16 : x
  2. Step 2: Convert to fraction form
    2,124.60/3,188.10 = 826.16/x
  3. Step 3: Cross multiply
    2,124.60x = 3,188.10 × 826.16
  4. Step 4: Simplify right side
    2,124.60x = 2,633,880.70
  5. Step 5: Solve for x
    x = 2,633,880.70/2,124.60
  6. Step 6: Final answer
    x = 1,239.71

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