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Finding the Fourth Proportional to 2,811.60, 4,212.24 and 2,423.52

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Solution

The fourth proportional to 2,811.60, 4,212.24 and 2,423.52 is: 3,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.60 : 4,212.24 = 2,423.52 : x
  2. Step 2: Convert to fraction form
    2,811.60/4,212.24 = 2,423.52/x
  3. Step 3: Cross multiply
    2,811.60x = 4,212.24 × 2,423.52
  4. Step 4: Simplify right side
    2,811.60x = 10,208,447.88
  5. Step 5: Solve for x
    x = 10,208,447.88/2,811.60
  6. Step 6: Final answer
    x = 3,630.83

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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.