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Finding the Fourth Proportional to 3,299.74, 4,948.00 and 1,220.72

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Solution

The fourth proportional to 3,299.74, 4,948.00 and 1,220.72 is: 1,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.74 : 4,948.00 = 1,220.72 : x
  2. Step 2: Convert to fraction form
    3,299.74/4,948.00 = 1,220.72/x
  3. Step 3: Cross multiply
    3,299.74x = 4,948.00 × 1,220.72
  4. Step 4: Simplify right side
    3,299.74x = 6,040,094.77
  5. Step 5: Solve for x
    x = 6,040,094.77/3,299.74
  6. Step 6: Final answer
    x = 1,830.48

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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.