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Finding the Fourth Proportional to 2,963.74, 4,090 and 1,704.82

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Solution

The fourth proportional to 2,963.74, 4,090 and 1,704.82 is: 2,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.74 : 4,090 = 1,704.82 : x
  2. Step 2: Convert to fraction form
    2,963.74/4,090 = 1,704.82/x
  3. Step 3: Cross multiply
    2,963.74x = 4,090 × 1,704.82
  4. Step 4: Simplify right side
    2,963.74x = 6,972,713.80
  5. Step 5: Solve for x
    x = 6,972,713.80/2,963.74
  6. Step 6: Final answer
    x = 2,352.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.