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Finding the Fourth Proportional to 3,217.60, 4,824.60 and 1,484.08

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Solution

The fourth proportional to 3,217.60, 4,824.60 and 1,484.08 is: 2,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.60 : 4,824.60 = 1,484.08 : x
  2. Step 2: Convert to fraction form
    3,217.60/4,824.60 = 1,484.08/x
  3. Step 3: Cross multiply
    3,217.60x = 4,824.60 × 1,484.08
  4. Step 4: Simplify right side
    3,217.60x = 7,160,092.37
  5. Step 5: Solve for x
    x = 7,160,092.37/3,217.60
  6. Step 6: Final answer
    x = 2,225.29

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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.