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Finding the Fourth Proportional to 2,243.68, 3,364.10 and 782.96

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Solution

The fourth proportional to 2,243.68, 3,364.10 and 782.96 is: 1,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.68 : 3,364.10 = 782.96 : x
  2. Step 2: Convert to fraction form
    2,243.68/3,364.10 = 782.96/x
  3. Step 3: Cross multiply
    2,243.68x = 3,364.10 × 782.96
  4. Step 4: Simplify right side
    2,243.68x = 2,633,955.74
  5. Step 5: Solve for x
    x = 2,633,955.74/2,243.68
  6. Step 6: Final answer
    x = 1,173.94

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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.