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Finding the Fourth Proportional to 2,366.95, 3,550.41 and 723.49

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Solution

The fourth proportional to 2,366.95, 3,550.41 and 723.49 is: 1,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.95 : 3,550.41 = 723.49 : x
  2. Step 2: Convert to fraction form
    2,366.95/3,550.41 = 723.49/x
  3. Step 3: Cross multiply
    2,366.95x = 3,550.41 × 723.49
  4. Step 4: Simplify right side
    2,366.95x = 2,568,686.13
  5. Step 5: Solve for x
    x = 2,568,686.13/2,366.95
  6. Step 6: Final answer
    x = 1,085.23

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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.