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Finding the Fourth Proportional to 2,955.72, 4,078.24 and 1,713

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Solution

The fourth proportional to 2,955.72, 4,078.24 and 1,713 is: 2,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.72 : 4,078.24 = 1,713 : x
  2. Step 2: Convert to fraction form
    2,955.72/4,078.24 = 1,713/x
  3. Step 3: Cross multiply
    2,955.72x = 4,078.24 × 1,713
  4. Step 4: Simplify right side
    2,955.72x = 6,986,025.12
  5. Step 5: Solve for x
    x = 6,986,025.12/2,955.72
  6. Step 6: Final answer
    x = 2,363.56

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Why These Related Problems?

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