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Finding the Fourth Proportional to 2,062.69, 2,846.91 and 1,613.67

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Solution

The fourth proportional to 2,062.69, 2,846.91 and 1,613.67 is: 2,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.69 : 2,846.91 = 1,613.67 : x
  2. Step 2: Convert to fraction form
    2,062.69/2,846.91 = 1,613.67/x
  3. Step 3: Cross multiply
    2,062.69x = 2,846.91 × 1,613.67
  4. Step 4: Simplify right side
    2,062.69x = 4,593,966.14
  5. Step 5: Solve for x
    x = 4,593,966.14/2,062.69
  6. Step 6: Final answer
    x = 2,227.17

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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.