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Finding the Fourth Proportional to 3,341.97, 4,613.36 and 2,164.95

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Solution

The fourth proportional to 3,341.97, 4,613.36 and 2,164.95 is: 2,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341.97 : 4,613.36 = 2,164.95 : x
  2. Step 2: Convert to fraction form
    3,341.97/4,613.36 = 2,164.95/x
  3. Step 3: Cross multiply
    3,341.97x = 4,613.36 × 2,164.95
  4. Step 4: Simplify right side
    3,341.97x = 9,987,682.91
  5. Step 5: Solve for x
    x = 9,987,682.91/3,341.97
  6. Step 6: Final answer
    x = 2,988.56

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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.