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Finding the Fourth Proportional to 2,366.68, 3,550.37 and 723.02

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Solution

The fourth proportional to 2,366.68, 3,550.37 and 723.02 is: 1,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.68 : 3,550.37 = 723.02 : x
  2. Step 2: Convert to fraction form
    2,366.68/3,550.37 = 723.02/x
  3. Step 3: Cross multiply
    2,366.68x = 3,550.37 × 723.02
  4. Step 4: Simplify right side
    2,366.68x = 2,566,988.52
  5. Step 5: Solve for x
    x = 2,566,988.52/2,366.68
  6. Step 6: Final answer
    x = 1,084.64

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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.