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Finding the Fourth Proportional to 2,187.72, 3,281.82 and 648.76

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Solution

The fourth proportional to 2,187.72, 3,281.82 and 648.76 is: 973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.72 : 3,281.82 = 648.76 : x
  2. Step 2: Convert to fraction form
    2,187.72/3,281.82 = 648.76/x
  3. Step 3: Cross multiply
    2,187.72x = 3,281.82 × 648.76
  4. Step 4: Simplify right side
    2,187.72x = 2,129,113.54
  5. Step 5: Solve for x
    x = 2,129,113.54/2,187.72
  6. Step 6: Final answer
    x = 973.21

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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.