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Finding the Fourth Proportional to 2,525, 3,484.14 and 1,462.73

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Solution

The fourth proportional to 2,525, 3,484.14 and 1,462.73 is: 2,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525 : 3,484.14 = 1,462.73 : x
  2. Step 2: Convert to fraction form
    2,525/3,484.14 = 1,462.73/x
  3. Step 3: Cross multiply
    2,525x = 3,484.14 × 1,462.73
  4. Step 4: Simplify right side
    2,525x = 5,096,356.10
  5. Step 5: Solve for x
    x = 5,096,356.10/2,525
  6. Step 6: Final answer
    x = 2,018.36

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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.