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Finding the Fourth Proportional to 2,188.76, 3,283.54 and 628.72

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Solution

The fourth proportional to 2,188.76, 3,283.54 and 628.72 is: 943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.76 : 3,283.54 = 628.72 : x
  2. Step 2: Convert to fraction form
    2,188.76/3,283.54 = 628.72/x
  3. Step 3: Cross multiply
    2,188.76x = 3,283.54 × 628.72
  4. Step 4: Simplify right side
    2,188.76x = 2,064,427.27
  5. Step 5: Solve for x
    x = 2,064,427.27/2,188.76
  6. Step 6: Final answer
    x = 943.19

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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.