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Finding the Fourth Proportional to 2,665.44, 3,998.07 and 934.02

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Solution

The fourth proportional to 2,665.44, 3,998.07 and 934.02 is: 1,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.44 : 3,998.07 = 934.02 : x
  2. Step 2: Convert to fraction form
    2,665.44/3,998.07 = 934.02/x
  3. Step 3: Cross multiply
    2,665.44x = 3,998.07 × 934.02
  4. Step 4: Simplify right side
    2,665.44x = 3,734,277.34
  5. Step 5: Solve for x
    x = 3,734,277.34/2,665.44
  6. Step 6: Final answer
    x = 1,401.00

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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.