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Finding the Fourth Proportional to 3,256.49, 4,878.20 and 1,499.04

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Solution

The fourth proportional to 3,256.49, 4,878.20 and 1,499.04 is: 2,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.49 : 4,878.20 = 1,499.04 : x
  2. Step 2: Convert to fraction form
    3,256.49/4,878.20 = 1,499.04/x
  3. Step 3: Cross multiply
    3,256.49x = 4,878.20 × 1,499.04
  4. Step 4: Simplify right side
    3,256.49x = 7,312,609.43
  5. Step 5: Solve for x
    x = 7,312,609.43/3,256.49
  6. Step 6: Final answer
    x = 2,245.55

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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.