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Finding the Fourth Proportional to 2,230.82, 3,346.28 and 587.32

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Solution

The fourth proportional to 2,230.82, 3,346.28 and 587.32 is: 880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.82 : 3,346.28 = 587.32 : x
  2. Step 2: Convert to fraction form
    2,230.82/3,346.28 = 587.32/x
  3. Step 3: Cross multiply
    2,230.82x = 3,346.28 × 587.32
  4. Step 4: Simplify right side
    2,230.82x = 1,965,337.17
  5. Step 5: Solve for x
    x = 1,965,337.17/2,230.82
  6. Step 6: Final answer
    x = 880.99

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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.