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Finding the Fourth Proportional to 2,522.48, 3,480.93 and 1,403.38

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Solution

The fourth proportional to 2,522.48, 3,480.93 and 1,403.38 is: 1,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.48 : 3,480.93 = 1,403.38 : x
  2. Step 2: Convert to fraction form
    2,522.48/3,480.93 = 1,403.38/x
  3. Step 3: Cross multiply
    2,522.48x = 3,480.93 × 1,403.38
  4. Step 4: Simplify right side
    2,522.48x = 4,885,079.75
  5. Step 5: Solve for x
    x = 4,885,079.75/2,522.48
  6. Step 6: Final answer
    x = 1,936.62

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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.