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Finding the Fourth Proportional to 3,337.54, 4,607.68 and 2,220

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Solution

The fourth proportional to 3,337.54, 4,607.68 and 2,220 is: 3,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.54 : 4,607.68 = 2,220 : x
  2. Step 2: Convert to fraction form
    3,337.54/4,607.68 = 2,220/x
  3. Step 3: Cross multiply
    3,337.54x = 4,607.68 × 2,220
  4. Step 4: Simplify right side
    3,337.54x = 10,229,049.60
  5. Step 5: Solve for x
    x = 10,229,049.60/3,337.54
  6. Step 6: Final answer
    x = 3,064.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.