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Finding the Fourth Proportional to 2,187.86, 3,281.26 and 627.50

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Solution

The fourth proportional to 2,187.86, 3,281.26 and 627.50 is: 941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.86 : 3,281.26 = 627.50 : x
  2. Step 2: Convert to fraction form
    2,187.86/3,281.26 = 627.50/x
  3. Step 3: Cross multiply
    2,187.86x = 3,281.26 × 627.50
  4. Step 4: Simplify right side
    2,187.86x = 2,058,980.00
  5. Step 5: Solve for x
    x = 2,058,980.00/2,187.86
  6. Step 6: Final answer
    x = 941.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.