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Finding the Fourth Proportional to 1,773.28, 2,660.40 and 619.12

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Solution

The fourth proportional to 1,773.28, 2,660.40 and 619.12 is: 928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.28 : 2,660.40 = 619.12 : x
  2. Step 2: Convert to fraction form
    1,773.28/2,660.40 = 619.12/x
  3. Step 3: Cross multiply
    1,773.28x = 2,660.40 × 619.12
  4. Step 4: Simplify right side
    1,773.28x = 1,647,106.85
  5. Step 5: Solve for x
    x = 1,647,106.85/1,773.28
  6. Step 6: Final answer
    x = 928.85

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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.