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Finding the Fourth Proportional to 2,065.37, 3,098.10 and 505.38

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Solution

The fourth proportional to 2,065.37, 3,098.10 and 505.38 is: 758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.37 : 3,098.10 = 505.38 : x
  2. Step 2: Convert to fraction form
    2,065.37/3,098.10 = 505.38/x
  3. Step 3: Cross multiply
    2,065.37x = 3,098.10 × 505.38
  4. Step 4: Simplify right side
    2,065.37x = 1,565,726.27
  5. Step 5: Solve for x
    x = 1,565,726.27/2,065.37
  6. Step 6: Final answer
    x = 758.09

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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.