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Finding the Fourth Proportional to 3,364, 5,044.68 and 1,977.68

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Solution

The fourth proportional to 3,364, 5,044.68 and 1,977.68 is: 2,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364 : 5,044.68 = 1,977.68 : x
  2. Step 2: Convert to fraction form
    3,364/5,044.68 = 1,977.68/x
  3. Step 3: Cross multiply
    3,364x = 5,044.68 × 1,977.68
  4. Step 4: Simplify right side
    3,364x = 9,976,762.74
  5. Step 5: Solve for x
    x = 9,976,762.74/3,364
  6. Step 6: Final answer
    x = 2,965.74

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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.