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Finding the Fourth Proportional to 2,062.13, 3,093.13 and 581.45

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Solution

The fourth proportional to 2,062.13, 3,093.13 and 581.45 is: 872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.13 : 3,093.13 = 581.45 : x
  2. Step 2: Convert to fraction form
    2,062.13/3,093.13 = 581.45/x
  3. Step 3: Cross multiply
    2,062.13x = 3,093.13 × 581.45
  4. Step 4: Simplify right side
    2,062.13x = 1,798,483.52
  5. Step 5: Solve for x
    x = 1,798,483.52/2,062.13
  6. Step 6: Final answer
    x = 872.15

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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.