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Finding the Fourth Proportional to 2,188.50, 3,283.29 and 649.50

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Solution

The fourth proportional to 2,188.50, 3,283.29 and 649.50 is: 974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.50 : 3,283.29 = 649.50 : x
  2. Step 2: Convert to fraction form
    2,188.50/3,283.29 = 649.50/x
  3. Step 3: Cross multiply
    2,188.50x = 3,283.29 × 649.50
  4. Step 4: Simplify right side
    2,188.50x = 2,132,496.86
  5. Step 5: Solve for x
    x = 2,132,496.86/2,188.50
  6. Step 6: Final answer
    x = 974.41

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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.