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Finding the Fourth Proportional to 3,141.94, 4,712.86 and 950.69

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Solution

The fourth proportional to 3,141.94, 4,712.86 and 950.69 is: 1,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.94 : 4,712.86 = 950.69 : x
  2. Step 2: Convert to fraction form
    3,141.94/4,712.86 = 950.69/x
  3. Step 3: Cross multiply
    3,141.94x = 4,712.86 × 950.69
  4. Step 4: Simplify right side
    3,141.94x = 4,480,468.87
  5. Step 5: Solve for x
    x = 4,480,468.87/3,141.94
  6. Step 6: Final answer
    x = 1,426.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.