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Finding the Fourth Proportional to 1,747.59, 2,619.24 and 967.56

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Solution

The fourth proportional to 1,747.59, 2,619.24 and 967.56 is: 1,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.59 : 2,619.24 = 967.56 : x
  2. Step 2: Convert to fraction form
    1,747.59/2,619.24 = 967.56/x
  3. Step 3: Cross multiply
    1,747.59x = 2,619.24 × 967.56
  4. Step 4: Simplify right side
    1,747.59x = 2,534,271.85
  5. Step 5: Solve for x
    x = 2,534,271.85/1,747.59
  6. Step 6: Final answer
    x = 1,450.15

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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.