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Finding the Fourth Proportional to 2,881, 3,974.84 and 1,701.84

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Solution

The fourth proportional to 2,881, 3,974.84 and 1,701.84 is: 2,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881 : 3,974.84 = 1,701.84 : x
  2. Step 2: Convert to fraction form
    2,881/3,974.84 = 1,701.84/x
  3. Step 3: Cross multiply
    2,881x = 3,974.84 × 1,701.84
  4. Step 4: Simplify right side
    2,881x = 6,764,541.71
  5. Step 5: Solve for x
    x = 6,764,541.71/2,881
  6. Step 6: Final answer
    x = 2,347.98

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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.