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Finding the Fourth Proportional to 2,392.20, 3,588.34 and 748.62

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Solution

The fourth proportional to 2,392.20, 3,588.34 and 748.62 is: 1,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.20 : 3,588.34 = 748.62 : x
  2. Step 2: Convert to fraction form
    2,392.20/3,588.34 = 748.62/x
  3. Step 3: Cross multiply
    2,392.20x = 3,588.34 × 748.62
  4. Step 4: Simplify right side
    2,392.20x = 2,686,303.09
  5. Step 5: Solve for x
    x = 2,686,303.09/2,392.20
  6. Step 6: Final answer
    x = 1,122.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.