Home / 2,257.52-3,386.28-1,214.96

Finding the Fourth Proportional to 2,257.52, 3,386.28 and 1,214.96

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Solution

The fourth proportional to 2,257.52, 3,386.28 and 1,214.96 is: 1,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.52 : 3,386.28 = 1,214.96 : x
  2. Step 2: Convert to fraction form
    2,257.52/3,386.28 = 1,214.96/x
  3. Step 3: Cross multiply
    2,257.52x = 3,386.28 × 1,214.96
  4. Step 4: Simplify right side
    2,257.52x = 4,114,194.75
  5. Step 5: Solve for x
    x = 4,114,194.75/2,257.52
  6. Step 6: Final answer
    x = 1,822.44

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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.