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Finding the Fourth Proportional to 3,048.57, 4,573.52 and 968.69

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Solution

The fourth proportional to 3,048.57, 4,573.52 and 968.69 is: 1,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.57 : 4,573.52 = 968.69 : x
  2. Step 2: Convert to fraction form
    3,048.57/4,573.52 = 968.69/x
  3. Step 3: Cross multiply
    3,048.57x = 4,573.52 × 968.69
  4. Step 4: Simplify right side
    3,048.57x = 4,430,323.09
  5. Step 5: Solve for x
    x = 4,430,323.09/3,048.57
  6. Step 6: Final answer
    x = 1,453.25

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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.