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Finding the Fourth Proportional to 3,256.64, 4,884.90 and 1,065.20

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Solution

The fourth proportional to 3,256.64, 4,884.90 and 1,065.20 is: 1,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.64 : 4,884.90 = 1,065.20 : x
  2. Step 2: Convert to fraction form
    3,256.64/4,884.90 = 1,065.20/x
  3. Step 3: Cross multiply
    3,256.64x = 4,884.90 × 1,065.20
  4. Step 4: Simplify right side
    3,256.64x = 5,203,395.48
  5. Step 5: Solve for x
    x = 5,203,395.48/3,256.64
  6. Step 6: Final answer
    x = 1,597.78

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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.