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Finding the Fourth Proportional to 2,230.30, 3,345.44 and 586.82

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Solution

The fourth proportional to 2,230.30, 3,345.44 and 586.82 is: 880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.30 : 3,345.44 = 586.82 : x
  2. Step 2: Convert to fraction form
    2,230.30/3,345.44 = 586.82/x
  3. Step 3: Cross multiply
    2,230.30x = 3,345.44 × 586.82
  4. Step 4: Simplify right side
    2,230.30x = 1,963,171.10
  5. Step 5: Solve for x
    x = 1,963,171.10/2,230.30
  6. Step 6: Final answer
    x = 880.23

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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.