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Finding the Fourth Proportional to 2,214.51, 3,321.78 and 1,347

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Solution

The fourth proportional to 2,214.51, 3,321.78 and 1,347 is: 2,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.51 : 3,321.78 = 1,347 : x
  2. Step 2: Convert to fraction form
    2,214.51/3,321.78 = 1,347/x
  3. Step 3: Cross multiply
    2,214.51x = 3,321.78 × 1,347
  4. Step 4: Simplify right side
    2,214.51x = 4,474,437.66
  5. Step 5: Solve for x
    x = 4,474,437.66/2,214.51
  6. Step 6: Final answer
    x = 2,020.51

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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.