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Finding the Fourth Proportional to 2,257.78, 3,386.75 and 614.37

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Solution

The fourth proportional to 2,257.78, 3,386.75 and 614.37 is: 921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.78 : 3,386.75 = 614.37 : x
  2. Step 2: Convert to fraction form
    2,257.78/3,386.75 = 614.37/x
  3. Step 3: Cross multiply
    2,257.78x = 3,386.75 × 614.37
  4. Step 4: Simplify right side
    2,257.78x = 2,080,697.59
  5. Step 5: Solve for x
    x = 2,080,697.59/2,257.78
  6. Step 6: Final answer
    x = 921.57

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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.