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Finding the Fourth Proportional to 2,088.16, 3,131.70 and 627.38

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Solution

The fourth proportional to 2,088.16, 3,131.70 and 627.38 is: 940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.16 : 3,131.70 = 627.38 : x
  2. Step 2: Convert to fraction form
    2,088.16/3,131.70 = 627.38/x
  3. Step 3: Cross multiply
    2,088.16x = 3,131.70 × 627.38
  4. Step 4: Simplify right side
    2,088.16x = 1,964,765.95
  5. Step 5: Solve for x
    x = 1,964,765.95/2,088.16
  6. Step 6: Final answer
    x = 940.91

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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.