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Finding the Fourth Proportional to 2,089.10, 3,133.03 and 627.86

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Solution

The fourth proportional to 2,089.10, 3,133.03 and 627.86 is: 941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.10 : 3,133.03 = 627.86 : x
  2. Step 2: Convert to fraction form
    2,089.10/3,133.03 = 627.86/x
  3. Step 3: Cross multiply
    2,089.10x = 3,133.03 × 627.86
  4. Step 4: Simplify right side
    2,089.10x = 1,967,104.22
  5. Step 5: Solve for x
    x = 1,967,104.22/2,089.10
  6. Step 6: Final answer
    x = 941.60

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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.