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Finding the Fourth Proportional to 2,105.74, 3,158.50 and 644.79

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Solution

The fourth proportional to 2,105.74, 3,158.50 and 644.79 is: 967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.74 : 3,158.50 = 644.79 : x
  2. Step 2: Convert to fraction form
    2,105.74/3,158.50 = 644.79/x
  3. Step 3: Cross multiply
    2,105.74x = 3,158.50 × 644.79
  4. Step 4: Simplify right side
    2,105.74x = 2,036,569.22
  5. Step 5: Solve for x
    x = 2,036,569.22/2,105.74
  6. Step 6: Final answer
    x = 967.15

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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.