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Finding the Fourth Proportional to 2,288.70, 3,432.67 and 644.87

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Solution

The fourth proportional to 2,288.70, 3,432.67 and 644.87 is: 967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.70 : 3,432.67 = 644.87 : x
  2. Step 2: Convert to fraction form
    2,288.70/3,432.67 = 644.87/x
  3. Step 3: Cross multiply
    2,288.70x = 3,432.67 × 644.87
  4. Step 4: Simplify right side
    2,288.70x = 2,213,632.87
  5. Step 5: Solve for x
    x = 2,213,632.87/2,288.70
  6. Step 6: Final answer
    x = 967.20

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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.