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Finding the Fourth Proportional to 3,005.70, 4,504.17 and 2,232.42

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Solution

The fourth proportional to 3,005.70, 4,504.17 and 2,232.42 is: 3,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.70 : 4,504.17 = 2,232.42 : x
  2. Step 2: Convert to fraction form
    3,005.70/4,504.17 = 2,232.42/x
  3. Step 3: Cross multiply
    3,005.70x = 4,504.17 × 2,232.42
  4. Step 4: Simplify right side
    3,005.70x = 10,055,199.19
  5. Step 5: Solve for x
    x = 10,055,199.19/3,005.70
  6. Step 6: Final answer
    x = 3,345.38

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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.