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Finding the Fourth Proportional to 3,202.34, 4,418.04 and 2,155.10

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Solution

The fourth proportional to 3,202.34, 4,418.04 and 2,155.10 is: 2,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.34 : 4,418.04 = 2,155.10 : x
  2. Step 2: Convert to fraction form
    3,202.34/4,418.04 = 2,155.10/x
  3. Step 3: Cross multiply
    3,202.34x = 4,418.04 × 2,155.10
  4. Step 4: Simplify right side
    3,202.34x = 9,521,318.00
  5. Step 5: Solve for x
    x = 9,521,318.00/3,202.34
  6. Step 6: Final answer
    x = 2,973.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.