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Finding the Fourth Proportional to 2,240.84, 3,364.14 and 1,215.56

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Solution

The fourth proportional to 2,240.84, 3,364.14 and 1,215.56 is: 1,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.84 : 3,364.14 = 1,215.56 : x
  2. Step 2: Convert to fraction form
    2,240.84/3,364.14 = 1,215.56/x
  3. Step 3: Cross multiply
    2,240.84x = 3,364.14 × 1,215.56
  4. Step 4: Simplify right side
    2,240.84x = 4,089,314.02
  5. Step 5: Solve for x
    x = 4,089,314.02/2,240.84
  6. Step 6: Final answer
    x = 1,824.90

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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.