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Finding the Fourth Proportional to 2,008.32, 3,011.84 and 640

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Solution

The fourth proportional to 2,008.32, 3,011.84 and 640 is: 959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.32 : 3,011.84 = 640 : x
  2. Step 2: Convert to fraction form
    2,008.32/3,011.84 = 640/x
  3. Step 3: Cross multiply
    2,008.32x = 3,011.84 × 640
  4. Step 4: Simplify right side
    2,008.32x = 1,927,577.60
  5. Step 5: Solve for x
    x = 1,927,577.60/2,008.32
  6. Step 6: Final answer
    x = 959.80

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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.