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Finding the Fourth Proportional to 2,190.08, 3,285.75 and 730.19

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Solution

The fourth proportional to 2,190.08, 3,285.75 and 730.19 is: 1,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.08 : 3,285.75 = 730.19 : x
  2. Step 2: Convert to fraction form
    2,190.08/3,285.75 = 730.19/x
  3. Step 3: Cross multiply
    2,190.08x = 3,285.75 × 730.19
  4. Step 4: Simplify right side
    2,190.08x = 2,399,221.79
  5. Step 5: Solve for x
    x = 2,399,221.79/2,190.08
  6. Step 6: Final answer
    x = 1,095.50

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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.