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Finding the Fourth Proportional to 3,297, 4,549.84 and 2,037.76

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Solution

The fourth proportional to 3,297, 4,549.84 and 2,037.76 is: 2,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297 : 4,549.84 = 2,037.76 : x
  2. Step 2: Convert to fraction form
    3,297/4,549.84 = 2,037.76/x
  3. Step 3: Cross multiply
    3,297x = 4,549.84 × 2,037.76
  4. Step 4: Simplify right side
    3,297x = 9,271,481.96
  5. Step 5: Solve for x
    x = 9,271,481.96/3,297
  6. Step 6: Final answer
    x = 2,812.10

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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.