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Finding the Fourth Proportional to 3,007.96, 4,151.36 and 1,681.74

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Solution

The fourth proportional to 3,007.96, 4,151.36 and 1,681.74 is: 2,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.96 : 4,151.36 = 1,681.74 : x
  2. Step 2: Convert to fraction form
    3,007.96/4,151.36 = 1,681.74/x
  3. Step 3: Cross multiply
    3,007.96x = 4,151.36 × 1,681.74
  4. Step 4: Simplify right side
    3,007.96x = 6,981,512.37
  5. Step 5: Solve for x
    x = 6,981,512.37/3,007.96
  6. Step 6: Final answer
    x = 2,321.01

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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.