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Finding the Fourth Proportional to 4,642.41, 6,964.52 and 1,720.74

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Solution

The fourth proportional to 4,642.41, 6,964.52 and 1,720.74 is: 2,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.41 : 6,964.52 = 1,720.74 : x
  2. Step 2: Convert to fraction form
    4,642.41/6,964.52 = 1,720.74/x
  3. Step 3: Cross multiply
    4,642.41x = 6,964.52 × 1,720.74
  4. Step 4: Simplify right side
    4,642.41x = 11,984,119.54
  5. Step 5: Solve for x
    x = 11,984,119.54/4,642.41
  6. Step 6: Final answer
    x = 2,581.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.