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Finding the Fourth Proportional to 2,465.98, 3,680.02 and 2,203.24

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Solution

The fourth proportional to 2,465.98, 3,680.02 and 2,203.24 is: 3,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.98 : 3,680.02 = 2,203.24 : x
  2. Step 2: Convert to fraction form
    2,465.98/3,680.02 = 2,203.24/x
  3. Step 3: Cross multiply
    2,465.98x = 3,680.02 × 2,203.24
  4. Step 4: Simplify right side
    2,465.98x = 8,107,967.26
  5. Step 5: Solve for x
    x = 8,107,967.26/2,465.98
  6. Step 6: Final answer
    x = 3,287.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.