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Finding the Fourth Proportional to 3,007.74, 4,151.08 and 1,681.96

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Solution

The fourth proportional to 3,007.74, 4,151.08 and 1,681.96 is: 2,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.74 : 4,151.08 = 1,681.96 : x
  2. Step 2: Convert to fraction form
    3,007.74/4,151.08 = 1,681.96/x
  3. Step 3: Cross multiply
    3,007.74x = 4,151.08 × 1,681.96
  4. Step 4: Simplify right side
    3,007.74x = 6,981,950.52
  5. Step 5: Solve for x
    x = 6,981,950.52/3,007.74
  6. Step 6: Final answer
    x = 2,321.33

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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.