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Finding the Fourth Proportional to 2,716.25, 4,073.22 and 841.91

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Solution

The fourth proportional to 2,716.25, 4,073.22 and 841.91 is: 1,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.25 : 4,073.22 = 841.91 : x
  2. Step 2: Convert to fraction form
    2,716.25/4,073.22 = 841.91/x
  3. Step 3: Cross multiply
    2,716.25x = 4,073.22 × 841.91
  4. Step 4: Simplify right side
    2,716.25x = 3,429,264.28
  5. Step 5: Solve for x
    x = 3,429,264.28/2,716.25
  6. Step 6: Final answer
    x = 1,262.50

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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.