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Finding the Fourth Proportional to 2,113.41, 3,170.16 and 574.41

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Solution

The fourth proportional to 2,113.41, 3,170.16 and 574.41 is: 861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.41 : 3,170.16 = 574.41 : x
  2. Step 2: Convert to fraction form
    2,113.41/3,170.16 = 574.41/x
  3. Step 3: Cross multiply
    2,113.41x = 3,170.16 × 574.41
  4. Step 4: Simplify right side
    2,113.41x = 1,820,971.61
  5. Step 5: Solve for x
    x = 1,820,971.61/2,113.41
  6. Step 6: Final answer
    x = 861.63

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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.