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Finding the Fourth Proportional to 2,065.54, 3,098.26 and 505.51

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Solution

The fourth proportional to 2,065.54, 3,098.26 and 505.51 is: 758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.54 : 3,098.26 = 505.51 : x
  2. Step 2: Convert to fraction form
    2,065.54/3,098.26 = 505.51/x
  3. Step 3: Cross multiply
    2,065.54x = 3,098.26 × 505.51
  4. Step 4: Simplify right side
    2,065.54x = 1,566,205.92
  5. Step 5: Solve for x
    x = 1,566,205.92/2,065.54
  6. Step 6: Final answer
    x = 758.26

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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.