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Finding the Fourth Proportional to 4,661.61, 6,995.21 and 1,741.97

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Solution

The fourth proportional to 4,661.61, 6,995.21 and 1,741.97 is: 2,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.61 : 6,995.21 = 1,741.97 : x
  2. Step 2: Convert to fraction form
    4,661.61/6,995.21 = 1,741.97/x
  3. Step 3: Cross multiply
    4,661.61x = 6,995.21 × 1,741.97
  4. Step 4: Simplify right side
    4,661.61x = 12,185,402.28
  5. Step 5: Solve for x
    x = 12,185,402.28/4,661.61
  6. Step 6: Final answer
    x = 2,613.99

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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.