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Finding the Fourth Proportional to 3,225.60, 4,827.60 and 2,253.60

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Solution

The fourth proportional to 3,225.60, 4,827.60 and 2,253.60 is: 3,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.60 : 4,827.60 = 2,253.60 : x
  2. Step 2: Convert to fraction form
    3,225.60/4,827.60 = 2,253.60/x
  3. Step 3: Cross multiply
    3,225.60x = 4,827.60 × 2,253.60
  4. Step 4: Simplify right side
    3,225.60x = 10,879,479.36
  5. Step 5: Solve for x
    x = 10,879,479.36/3,225.60
  6. Step 6: Final answer
    x = 3,372.85

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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.