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Finding the Fourth Proportional to 3,048.24, 4,572.54 and 968.34

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Solution

The fourth proportional to 3,048.24, 4,572.54 and 968.34 is: 1,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.24 : 4,572.54 = 968.34 : x
  2. Step 2: Convert to fraction form
    3,048.24/4,572.54 = 968.34/x
  3. Step 3: Cross multiply
    3,048.24x = 4,572.54 × 968.34
  4. Step 4: Simplify right side
    3,048.24x = 4,427,773.38
  5. Step 5: Solve for x
    x = 4,427,773.38/3,048.24
  6. Step 6: Final answer
    x = 1,452.57

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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.