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Finding the Fourth Proportional to 2,450.54, 3,675.38 and 718.76

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Solution

The fourth proportional to 2,450.54, 3,675.38 and 718.76 is: 1,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.54 : 3,675.38 = 718.76 : x
  2. Step 2: Convert to fraction form
    2,450.54/3,675.38 = 718.76/x
  3. Step 3: Cross multiply
    2,450.54x = 3,675.38 × 718.76
  4. Step 4: Simplify right side
    2,450.54x = 2,641,716.13
  5. Step 5: Solve for x
    x = 2,641,716.13/2,450.54
  6. Step 6: Final answer
    x = 1,078.01

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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.