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Finding the Fourth Proportional to 2,464.97, 3,697.53 and 905.43

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Solution

The fourth proportional to 2,464.97, 3,697.53 and 905.43 is: 1,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.97 : 3,697.53 = 905.43 : x
  2. Step 2: Convert to fraction form
    2,464.97/3,697.53 = 905.43/x
  3. Step 3: Cross multiply
    2,464.97x = 3,697.53 × 905.43
  4. Step 4: Simplify right side
    2,464.97x = 3,347,849.35
  5. Step 5: Solve for x
    x = 3,347,849.35/2,464.97
  6. Step 6: Final answer
    x = 1,358.17

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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.