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Finding the Fourth Proportional to 2,622.48, 3,933.12 and 748.34

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Solution

The fourth proportional to 2,622.48, 3,933.12 and 748.34 is: 1,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.48 : 3,933.12 = 748.34 : x
  2. Step 2: Convert to fraction form
    2,622.48/3,933.12 = 748.34/x
  3. Step 3: Cross multiply
    2,622.48x = 3,933.12 × 748.34
  4. Step 4: Simplify right side
    2,622.48x = 2,943,303.06
  5. Step 5: Solve for x
    x = 2,943,303.06/2,622.48
  6. Step 6: Final answer
    x = 1,122.33

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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.