Home / 2,710-3,738.36-2,046.16

Finding the Fourth Proportional to 2,710, 3,738.36 and 2,046.16

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Solution

The fourth proportional to 2,710, 3,738.36 and 2,046.16 is: 2,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710 : 3,738.36 = 2,046.16 : x
  2. Step 2: Convert to fraction form
    2,710/3,738.36 = 2,046.16/x
  3. Step 3: Cross multiply
    2,710x = 3,738.36 × 2,046.16
  4. Step 4: Simplify right side
    2,710x = 7,649,282.70
  5. Step 5: Solve for x
    x = 7,649,282.70/2,710
  6. Step 6: Final answer
    x = 2,822.61

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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.