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Finding the Fourth Proportional to 3,088.38, 4,627.71 and 1,699.68

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Solution

The fourth proportional to 3,088.38, 4,627.71 and 1,699.68 is: 2,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.38 : 4,627.71 = 1,699.68 : x
  2. Step 2: Convert to fraction form
    3,088.38/4,627.71 = 1,699.68/x
  3. Step 3: Cross multiply
    3,088.38x = 4,627.71 × 1,699.68
  4. Step 4: Simplify right side
    3,088.38x = 7,865,626.13
  5. Step 5: Solve for x
    x = 7,865,626.13/3,088.38
  6. Step 6: Final answer
    x = 2,546.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.