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Finding the Fourth Proportional to 2,396.30, 3,594.44 and 752.97

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Solution

The fourth proportional to 2,396.30, 3,594.44 and 752.97 is: 1,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.30 : 3,594.44 = 752.97 : x
  2. Step 2: Convert to fraction form
    2,396.30/3,594.44 = 752.97/x
  3. Step 3: Cross multiply
    2,396.30x = 3,594.44 × 752.97
  4. Step 4: Simplify right side
    2,396.30x = 2,706,501.72
  5. Step 5: Solve for x
    x = 2,706,501.72/2,396.30
  6. Step 6: Final answer
    x = 1,129.45

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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.