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Finding the Fourth Proportional to 3,141.68, 4,712.16 and 833.36

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Solution

The fourth proportional to 3,141.68, 4,712.16 and 833.36 is: 1,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.68 : 4,712.16 = 833.36 : x
  2. Step 2: Convert to fraction form
    3,141.68/4,712.16 = 833.36/x
  3. Step 3: Cross multiply
    3,141.68x = 4,712.16 × 833.36
  4. Step 4: Simplify right side
    3,141.68x = 3,926,925.66
  5. Step 5: Solve for x
    x = 3,926,925.66/3,141.68
  6. Step 6: Final answer
    x = 1,249.94

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1.5x scale

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.