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Finding the Fourth Proportional to 2,441.45, 3,662.17 and 592.56

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Solution

The fourth proportional to 2,441.45, 3,662.17 and 592.56 is: 888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.45 : 3,662.17 = 592.56 : x
  2. Step 2: Convert to fraction form
    2,441.45/3,662.17 = 592.56/x
  3. Step 3: Cross multiply
    2,441.45x = 3,662.17 × 592.56
  4. Step 4: Simplify right side
    2,441.45x = 2,170,055.46
  5. Step 5: Solve for x
    x = 2,170,055.46/2,441.45
  6. Step 6: Final answer
    x = 888.84

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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.