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Finding the Fourth Proportional to 2,588.24, 3,882.32 and 640.45

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Solution

The fourth proportional to 2,588.24, 3,882.32 and 640.45 is: 960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.24 : 3,882.32 = 640.45 : x
  2. Step 2: Convert to fraction form
    2,588.24/3,882.32 = 640.45/x
  3. Step 3: Cross multiply
    2,588.24x = 3,882.32 × 640.45
  4. Step 4: Simplify right side
    2,588.24x = 2,486,423.74
  5. Step 5: Solve for x
    x = 2,486,423.74/2,588.24
  6. Step 6: Final answer
    x = 960.66

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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.