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Finding the Fourth Proportional to 2,214.81, 3,322.75 and 675.81

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Solution

The fourth proportional to 2,214.81, 3,322.75 and 675.81 is: 1,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.81 : 3,322.75 = 675.81 : x
  2. Step 2: Convert to fraction form
    2,214.81/3,322.75 = 675.81/x
  3. Step 3: Cross multiply
    2,214.81x = 3,322.75 × 675.81
  4. Step 4: Simplify right side
    2,214.81x = 2,245,547.68
  5. Step 5: Solve for x
    x = 2,245,547.68/2,214.81
  6. Step 6: Final answer
    x = 1,013.88

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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.