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Finding the Fourth Proportional to 3,298.75, 4,948.13 and 833.57

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Solution

The fourth proportional to 3,298.75, 4,948.13 and 833.57 is: 1,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.75 : 4,948.13 = 833.57 : x
  2. Step 2: Convert to fraction form
    3,298.75/4,948.13 = 833.57/x
  3. Step 3: Cross multiply
    3,298.75x = 4,948.13 × 833.57
  4. Step 4: Simplify right side
    3,298.75x = 4,124,612.72
  5. Step 5: Solve for x
    x = 4,124,612.72/3,298.75
  6. Step 6: Final answer
    x = 1,250.36

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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.