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Finding the Fourth Proportional to 2,088.78, 3,133.17 and 627.90

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Solution

The fourth proportional to 2,088.78, 3,133.17 and 627.90 is: 941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.78 : 3,133.17 = 627.90 : x
  2. Step 2: Convert to fraction form
    2,088.78/3,133.17 = 627.90/x
  3. Step 3: Cross multiply
    2,088.78x = 3,133.17 × 627.90
  4. Step 4: Simplify right side
    2,088.78x = 1,967,301.78
  5. Step 5: Solve for x
    x = 1,967,301.78/2,088.78
  6. Step 6: Final answer
    x = 941.84

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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.