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Finding the Fourth Proportional to 3,007.76, 4,150.62 and 1,681.47

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Solution

The fourth proportional to 3,007.76, 4,150.62 and 1,681.47 is: 2,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.76 : 4,150.62 = 1,681.47 : x
  2. Step 2: Convert to fraction form
    3,007.76/4,150.62 = 1,681.47/x
  3. Step 3: Cross multiply
    3,007.76x = 4,150.62 × 1,681.47
  4. Step 4: Simplify right side
    3,007.76x = 6,979,143.01
  5. Step 5: Solve for x
    x = 6,979,143.01/3,007.76
  6. Step 6: Final answer
    x = 2,320.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.