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Finding the Fourth Proportional to 2,588.02, 3,882 and 943.98

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Solution

The fourth proportional to 2,588.02, 3,882 and 943.98 is: 1,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.02 : 3,882 = 943.98 : x
  2. Step 2: Convert to fraction form
    2,588.02/3,882 = 943.98/x
  3. Step 3: Cross multiply
    2,588.02x = 3,882 × 943.98
  4. Step 4: Simplify right side
    2,588.02x = 3,664,530.36
  5. Step 5: Solve for x
    x = 3,664,530.36/2,588.02
  6. Step 6: Final answer
    x = 1,415.96

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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.