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Finding the Fourth Proportional to 2,367.16, 3,549.36 and 723.28

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Solution

The fourth proportional to 2,367.16, 3,549.36 and 723.28 is: 1,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.16 : 3,549.36 = 723.28 : x
  2. Step 2: Convert to fraction form
    2,367.16/3,549.36 = 723.28/x
  3. Step 3: Cross multiply
    2,367.16x = 3,549.36 × 723.28
  4. Step 4: Simplify right side
    2,367.16x = 2,567,181.10
  5. Step 5: Solve for x
    x = 2,567,181.10/2,367.16
  6. Step 6: Final answer
    x = 1,084.50

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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.