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Finding the Fourth Proportional to 2,208.95, 3,313.90 and 748.07

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Solution

The fourth proportional to 2,208.95, 3,313.90 and 748.07 is: 1,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.95 : 3,313.90 = 748.07 : x
  2. Step 2: Convert to fraction form
    2,208.95/3,313.90 = 748.07/x
  3. Step 3: Cross multiply
    2,208.95x = 3,313.90 × 748.07
  4. Step 4: Simplify right side
    2,208.95x = 2,479,029.17
  5. Step 5: Solve for x
    x = 2,479,029.17/2,208.95
  6. Step 6: Final answer
    x = 1,122.27

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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.