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Finding the Fourth Proportional to 3,464.64, 5,192.64 and 1,733.76

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Solution

The fourth proportional to 3,464.64, 5,192.64 and 1,733.76 is: 2,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.64 : 5,192.64 = 1,733.76 : x
  2. Step 2: Convert to fraction form
    3,464.64/5,192.64 = 1,733.76/x
  3. Step 3: Cross multiply
    3,464.64x = 5,192.64 × 1,733.76
  4. Step 4: Simplify right side
    3,464.64x = 9,002,791.53
  5. Step 5: Solve for x
    x = 9,002,791.53/3,464.64
  6. Step 6: Final answer
    x = 2,598.48

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1.5x scale

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.