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Finding the Fourth Proportional to 3,048.35, 4,572.68 and 968.52

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Solution

The fourth proportional to 3,048.35, 4,572.68 and 968.52 is: 1,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.35 : 4,572.68 = 968.52 : x
  2. Step 2: Convert to fraction form
    3,048.35/4,572.68 = 968.52/x
  3. Step 3: Cross multiply
    3,048.35x = 4,572.68 × 968.52
  4. Step 4: Simplify right side
    3,048.35x = 4,428,727.77
  5. Step 5: Solve for x
    x = 4,428,727.77/3,048.35
  6. Step 6: Final answer
    x = 1,452.83

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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.