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Finding the Fourth Proportional to 2,253, 3,109.20 and 1,468.44

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Solution

The fourth proportional to 2,253, 3,109.20 and 1,468.44 is: 2,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253 : 3,109.20 = 1,468.44 : x
  2. Step 2: Convert to fraction form
    2,253/3,109.20 = 1,468.44/x
  3. Step 3: Cross multiply
    2,253x = 3,109.20 × 1,468.44
  4. Step 4: Simplify right side
    2,253x = 4,565,673.65
  5. Step 5: Solve for x
    x = 4,565,673.65/2,253
  6. Step 6: Final answer
    x = 2,026.49

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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.