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Finding the Fourth Proportional to 2,981.66, 4,474.77 and 1,251.50

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Solution

The fourth proportional to 2,981.66, 4,474.77 and 1,251.50 is: 1,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.66 : 4,474.77 = 1,251.50 : x
  2. Step 2: Convert to fraction form
    2,981.66/4,474.77 = 1,251.50/x
  3. Step 3: Cross multiply
    2,981.66x = 4,474.77 × 1,251.50
  4. Step 4: Simplify right side
    2,981.66x = 5,600,152.28
  5. Step 5: Solve for x
    x = 5,600,152.28/2,981.66
  6. Step 6: Final answer
    x = 1,878.20

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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.