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Finding the Fourth Proportional to 3,007.42, 4,150.22 and 1,681.12

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Solution

The fourth proportional to 3,007.42, 4,150.22 and 1,681.12 is: 2,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.42 : 4,150.22 = 1,681.12 : x
  2. Step 2: Convert to fraction form
    3,007.42/4,150.22 = 1,681.12/x
  3. Step 3: Cross multiply
    3,007.42x = 4,150.22 × 1,681.12
  4. Step 4: Simplify right side
    3,007.42x = 6,976,988.69
  5. Step 5: Solve for x
    x = 6,976,988.69/3,007.42
  6. Step 6: Final answer
    x = 2,319.93

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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.