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Finding the Fourth Proportional to 2,205.68, 3,309.01 and 744.79

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Solution

The fourth proportional to 2,205.68, 3,309.01 and 744.79 is: 1,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.68 : 3,309.01 = 744.79 : x
  2. Step 2: Convert to fraction form
    2,205.68/3,309.01 = 744.79/x
  3. Step 3: Cross multiply
    2,205.68x = 3,309.01 × 744.79
  4. Step 4: Simplify right side
    2,205.68x = 2,464,501.01
  5. Step 5: Solve for x
    x = 2,464,501.01/2,205.68
  6. Step 6: Final answer
    x = 1,117.35

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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.