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Finding the Fourth Proportional to 3,007.45, 4,150.27 and 1,681.17

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Solution

The fourth proportional to 3,007.45, 4,150.27 and 1,681.17 is: 2,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.45 : 4,150.27 = 1,681.17 : x
  2. Step 2: Convert to fraction form
    3,007.45/4,150.27 = 1,681.17/x
  3. Step 3: Cross multiply
    3,007.45x = 4,150.27 × 1,681.17
  4. Step 4: Simplify right side
    3,007.45x = 6,977,309.42
  5. Step 5: Solve for x
    x = 6,977,309.42/3,007.45
  6. Step 6: Final answer
    x = 2,320.01

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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.