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Finding the Fourth Proportional to 3,188.69, 4,397.65 and 2,068.52

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Solution

The fourth proportional to 3,188.69, 4,397.65 and 2,068.52 is: 2,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.69 : 4,397.65 = 2,068.52 : x
  2. Step 2: Convert to fraction form
    3,188.69/4,397.65 = 2,068.52/x
  3. Step 3: Cross multiply
    3,188.69x = 4,397.65 × 2,068.52
  4. Step 4: Simplify right side
    3,188.69x = 9,096,632.80
  5. Step 5: Solve for x
    x = 9,096,632.80/3,188.69
  6. Step 6: Final answer
    x = 2,852.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.