Home / 2,213.82-3,054.75-1,417.84

Finding the Fourth Proportional to 2,213.82, 3,054.75 and 1,417.84

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Solution

The fourth proportional to 2,213.82, 3,054.75 and 1,417.84 is: 1,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.82 : 3,054.75 = 1,417.84 : x
  2. Step 2: Convert to fraction form
    2,213.82/3,054.75 = 1,417.84/x
  3. Step 3: Cross multiply
    2,213.82x = 3,054.75 × 1,417.84
  4. Step 4: Simplify right side
    2,213.82x = 4,331,146.74
  5. Step 5: Solve for x
    x = 4,331,146.74/2,213.82
  6. Step 6: Final answer
    x = 1,956.41

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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.