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Finding the Fourth Proportional to 2,219.30, 3,330.42 and 920.77

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Solution

The fourth proportional to 2,219.30, 3,330.42 and 920.77 is: 1,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.30 : 3,330.42 = 920.77 : x
  2. Step 2: Convert to fraction form
    2,219.30/3,330.42 = 920.77/x
  3. Step 3: Cross multiply
    2,219.30x = 3,330.42 × 920.77
  4. Step 4: Simplify right side
    2,219.30x = 3,066,539.04
  5. Step 5: Solve for x
    x = 3,066,539.04/2,219.30
  6. Step 6: Final answer
    x = 1,381.76

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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.