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Finding the Fourth Proportional to 2,088.78, 3,133.69 and 627.93

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Solution

The fourth proportional to 2,088.78, 3,133.69 and 627.93 is: 942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.78 : 3,133.69 = 627.93 : x
  2. Step 2: Convert to fraction form
    2,088.78/3,133.69 = 627.93/x
  3. Step 3: Cross multiply
    2,088.78x = 3,133.69 × 627.93
  4. Step 4: Simplify right side
    2,088.78x = 1,967,737.96
  5. Step 5: Solve for x
    x = 1,967,737.96/2,088.78
  6. Step 6: Final answer
    x = 942.05

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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.