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Finding the Fourth Proportional to 2,187.58, 3,280.61 and 627.16

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Solution

The fourth proportional to 2,187.58, 3,280.61 and 627.16 is: 940.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.58 : 3,280.61 = 627.16 : x
  2. Step 2: Convert to fraction form
    2,187.58/3,280.61 = 627.16/x
  3. Step 3: Cross multiply
    2,187.58x = 3,280.61 × 627.16
  4. Step 4: Simplify right side
    2,187.58x = 2,057,467.37
  5. Step 5: Solve for x
    x = 2,057,467.37/2,187.58
  6. Step 6: Final answer
    x = 940.52

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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.