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Finding the Fourth Proportional to 2,113.78, 3,170.64 and 553.80

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Solution

The fourth proportional to 2,113.78, 3,170.64 and 553.80 is: 830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.78 : 3,170.64 = 553.80 : x
  2. Step 2: Convert to fraction form
    2,113.78/3,170.64 = 553.80/x
  3. Step 3: Cross multiply
    2,113.78x = 3,170.64 × 553.80
  4. Step 4: Simplify right side
    2,113.78x = 1,755,900.43
  5. Step 5: Solve for x
    x = 1,755,900.43/2,113.78
  6. Step 6: Final answer
    x = 830.69

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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.