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Finding the Fourth Proportional to 2,030.87, 3,046.98 and 934.41

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Solution

The fourth proportional to 2,030.87, 3,046.98 and 934.41 is: 1,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.87 : 3,046.98 = 934.41 : x
  2. Step 2: Convert to fraction form
    2,030.87/3,046.98 = 934.41/x
  3. Step 3: Cross multiply
    2,030.87x = 3,046.98 × 934.41
  4. Step 4: Simplify right side
    2,030.87x = 2,847,120.66
  5. Step 5: Solve for x
    x = 2,847,120.66/2,030.87
  6. Step 6: Final answer
    x = 1,401.92

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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.