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Finding the Fourth Proportional to 2,288.02, 3,432.22 and 644.70

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Solution

The fourth proportional to 2,288.02, 3,432.22 and 644.70 is: 967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.02 : 3,432.22 = 644.70 : x
  2. Step 2: Convert to fraction form
    2,288.02/3,432.22 = 644.70/x
  3. Step 3: Cross multiply
    2,288.02x = 3,432.22 × 644.70
  4. Step 4: Simplify right side
    2,288.02x = 2,212,752.23
  5. Step 5: Solve for x
    x = 2,212,752.23/2,288.02
  6. Step 6: Final answer
    x = 967.10

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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.