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Finding the Fourth Proportional to 2,410.97, 3,616.47 and 745.08

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Solution

The fourth proportional to 2,410.97, 3,616.47 and 745.08 is: 1,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.97 : 3,616.47 = 745.08 : x
  2. Step 2: Convert to fraction form
    2,410.97/3,616.47 = 745.08/x
  3. Step 3: Cross multiply
    2,410.97x = 3,616.47 × 745.08
  4. Step 4: Simplify right side
    2,410.97x = 2,694,559.47
  5. Step 5: Solve for x
    x = 2,694,559.47/2,410.97
  6. Step 6: Final answer
    x = 1,117.62

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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.