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Finding the Fourth Proportional to 2,230.23, 3,345.36 and 586.92

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Solution

The fourth proportional to 2,230.23, 3,345.36 and 586.92 is: 880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.23 : 3,345.36 = 586.92 : x
  2. Step 2: Convert to fraction form
    2,230.23/3,345.36 = 586.92/x
  3. Step 3: Cross multiply
    2,230.23x = 3,345.36 × 586.92
  4. Step 4: Simplify right side
    2,230.23x = 1,963,458.69
  5. Step 5: Solve for x
    x = 1,963,458.69/2,230.23
  6. Step 6: Final answer
    x = 880.38

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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.