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Finding the Fourth Proportional to 2,111.76, 3,147.30 and 2,108.52

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Solution

The fourth proportional to 2,111.76, 3,147.30 and 2,108.52 is: 3,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.76 : 3,147.30 = 2,108.52 : x
  2. Step 2: Convert to fraction form
    2,111.76/3,147.30 = 2,108.52/x
  3. Step 3: Cross multiply
    2,111.76x = 3,147.30 × 2,108.52
  4. Step 4: Simplify right side
    2,111.76x = 6,636,145.00
  5. Step 5: Solve for x
    x = 6,636,145.00/2,111.76
  6. Step 6: Final answer
    x = 3,142.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.