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Finding the Fourth Proportional to 2,256.74, 3,384.24 and 1,334.18

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Solution

The fourth proportional to 2,256.74, 3,384.24 and 1,334.18 is: 2,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.74 : 3,384.24 = 1,334.18 : x
  2. Step 2: Convert to fraction form
    2,256.74/3,384.24 = 1,334.18/x
  3. Step 3: Cross multiply
    2,256.74x = 3,384.24 × 1,334.18
  4. Step 4: Simplify right side
    2,256.74x = 4,515,185.32
  5. Step 5: Solve for x
    x = 4,515,185.32/2,256.74
  6. Step 6: Final answer
    x = 2,000.76

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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.