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Finding the Fourth Proportional to 2,392.30, 3,586.51 and 748.00

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Solution

The fourth proportional to 2,392.30, 3,586.51 and 748.00 is: 1,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.30 : 3,586.51 = 748.00 : x
  2. Step 2: Convert to fraction form
    2,392.30/3,586.51 = 748.00/x
  3. Step 3: Cross multiply
    2,392.30x = 3,586.51 × 748.00
  4. Step 4: Simplify right side
    2,392.30x = 2,682,687.81
  5. Step 5: Solve for x
    x = 2,682,687.81/2,392.30
  6. Step 6: Final answer
    x = 1,121.39

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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.