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Finding the Fourth Proportional to 2,088.12, 3,151.80 and 2,088.12

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Solution

The fourth proportional to 2,088.12, 3,151.80 and 2,088.12 is: 3,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.12 : 3,151.80 = 2,088.12 : x
  2. Step 2: Convert to fraction form
    2,088.12/3,151.80 = 2,088.12/x
  3. Step 3: Cross multiply
    2,088.12x = 3,151.80 × 2,088.12
  4. Step 4: Simplify right side
    2,088.12x = 6,581,336.62
  5. Step 5: Solve for x
    x = 6,581,336.62/2,088.12
  6. Step 6: Final answer
    x = 3,151.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.