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Finding the Fourth Proportional to 2,367.81, 3,552.06 and 724.16

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Solution

The fourth proportional to 2,367.81, 3,552.06 and 724.16 is: 1,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.81 : 3,552.06 = 724.16 : x
  2. Step 2: Convert to fraction form
    2,367.81/3,552.06 = 724.16/x
  3. Step 3: Cross multiply
    2,367.81x = 3,552.06 × 724.16
  4. Step 4: Simplify right side
    2,367.81x = 2,572,242.01
  5. Step 5: Solve for x
    x = 2,572,242.01/2,367.81
  6. Step 6: Final answer
    x = 1,086.34

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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.