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Finding the Fourth Proportional to 2,522.70, 3,784.17 and 1,135.80

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Solution

The fourth proportional to 2,522.70, 3,784.17 and 1,135.80 is: 1,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.70 : 3,784.17 = 1,135.80 : x
  2. Step 2: Convert to fraction form
    2,522.70/3,784.17 = 1,135.80/x
  3. Step 3: Cross multiply
    2,522.70x = 3,784.17 × 1,135.80
  4. Step 4: Simplify right side
    2,522.70x = 4,298,060.29
  5. Step 5: Solve for x
    x = 4,298,060.29/2,522.70
  6. Step 6: Final answer
    x = 1,703.75

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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.