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Finding the Fourth Proportional to 2,033.37, 2,800.80 and 1,590.48

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Solution

The fourth proportional to 2,033.37, 2,800.80 and 1,590.48 is: 2,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.37 : 2,800.80 = 1,590.48 : x
  2. Step 2: Convert to fraction form
    2,033.37/2,800.80 = 1,590.48/x
  3. Step 3: Cross multiply
    2,033.37x = 2,800.80 × 1,590.48
  4. Step 4: Simplify right side
    2,033.37x = 4,454,616.38
  5. Step 5: Solve for x
    x = 4,454,616.38/2,033.37
  6. Step 6: Final answer
    x = 2,190.76

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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.