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Finding the Fourth Proportional to 2,015.40, 3,022.44 and 782.70

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Solution

The fourth proportional to 2,015.40, 3,022.44 and 782.70 is: 1,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.40 : 3,022.44 = 782.70 : x
  2. Step 2: Convert to fraction form
    2,015.40/3,022.44 = 782.70/x
  3. Step 3: Cross multiply
    2,015.40x = 3,022.44 × 782.70
  4. Step 4: Simplify right side
    2,015.40x = 2,365,663.79
  5. Step 5: Solve for x
    x = 2,365,663.79/2,015.40
  6. Step 6: Final answer
    x = 1,173.79

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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.