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Finding the Fourth Proportional to 2,716, 3,746.92 and 2,085.44

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Solution

The fourth proportional to 2,716, 3,746.92 and 2,085.44 is: 2,877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716 : 3,746.92 = 2,085.44 : x
  2. Step 2: Convert to fraction form
    2,716/3,746.92 = 2,085.44/x
  3. Step 3: Cross multiply
    2,716x = 3,746.92 × 2,085.44
  4. Step 4: Simplify right side
    2,716x = 7,813,976.84
  5. Step 5: Solve for x
    x = 7,813,976.84/2,716
  6. Step 6: Final answer
    x = 2,877.02

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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.