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Finding the Fourth Proportional to 3,297.68, 4,948.08 and 1,654.40

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Solution

The fourth proportional to 3,297.68, 4,948.08 and 1,654.40 is: 2,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.68 : 4,948.08 = 1,654.40 : x
  2. Step 2: Convert to fraction form
    3,297.68/4,948.08 = 1,654.40/x
  3. Step 3: Cross multiply
    3,297.68x = 4,948.08 × 1,654.40
  4. Step 4: Simplify right side
    3,297.68x = 8,186,103.55
  5. Step 5: Solve for x
    x = 8,186,103.55/3,297.68
  6. Step 6: Final answer
    x = 2,482.38

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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.