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Finding the Fourth Proportional to 2,846.88, 4,263.84 and 1,981.84

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Solution

The fourth proportional to 2,846.88, 4,263.84 and 1,981.84 is: 2,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.88 : 4,263.84 = 1,981.84 : x
  2. Step 2: Convert to fraction form
    2,846.88/4,263.84 = 1,981.84/x
  3. Step 3: Cross multiply
    2,846.88x = 4,263.84 × 1,981.84
  4. Step 4: Simplify right side
    2,846.88x = 8,450,248.67
  5. Step 5: Solve for x
    x = 8,450,248.67/2,846.88
  6. Step 6: Final answer
    x = 2,968.25

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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.