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Finding the Fourth Proportional to 2,833.59, 3,910.28 and 1,574.61

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Solution

The fourth proportional to 2,833.59, 3,910.28 and 1,574.61 is: 2,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.59 : 3,910.28 = 1,574.61 : x
  2. Step 2: Convert to fraction form
    2,833.59/3,910.28 = 1,574.61/x
  3. Step 3: Cross multiply
    2,833.59x = 3,910.28 × 1,574.61
  4. Step 4: Simplify right side
    2,833.59x = 6,157,158.12
  5. Step 5: Solve for x
    x = 6,157,158.12/2,833.59
  6. Step 6: Final answer
    x = 2,172.92

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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.