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Finding the Fourth Proportional to 1,747.01, 2,410.92 and 961.08

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Solution

The fourth proportional to 1,747.01, 2,410.92 and 961.08 is: 1,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.01 : 2,410.92 = 961.08 : x
  2. Step 2: Convert to fraction form
    1,747.01/2,410.92 = 961.08/x
  3. Step 3: Cross multiply
    1,747.01x = 2,410.92 × 961.08
  4. Step 4: Simplify right side
    1,747.01x = 2,317,086.99
  5. Step 5: Solve for x
    x = 2,317,086.99/1,747.01
  6. Step 6: Final answer
    x = 1,326.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.