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Finding the Fourth Proportional to 3,048.32, 4,572.86 and 968.45

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Solution

The fourth proportional to 3,048.32, 4,572.86 and 968.45 is: 1,452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.32 : 4,572.86 = 968.45 : x
  2. Step 2: Convert to fraction form
    3,048.32/4,572.86 = 968.45/x
  3. Step 3: Cross multiply
    3,048.32x = 4,572.86 × 968.45
  4. Step 4: Simplify right side
    3,048.32x = 4,428,558.56
  5. Step 5: Solve for x
    x = 4,428,558.56/3,048.32
  6. Step 6: Final answer
    x = 1,452.79

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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.