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Finding the Fourth Proportional to 3,062.70, 4,590.45 and 1,601.10

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Solution

The fourth proportional to 3,062.70, 4,590.45 and 1,601.10 is: 2,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.70 : 4,590.45 = 1,601.10 : x
  2. Step 2: Convert to fraction form
    3,062.70/4,590.45 = 1,601.10/x
  3. Step 3: Cross multiply
    3,062.70x = 4,590.45 × 1,601.10
  4. Step 4: Simplify right side
    3,062.70x = 7,349,769.50
  5. Step 5: Solve for x
    x = 7,349,769.50/3,062.70
  6. Step 6: Final answer
    x = 2,399.77

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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.