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Finding the Fourth Proportional to 3,053.25, 4,579.88 and 744.75

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Solution

The fourth proportional to 3,053.25, 4,579.88 and 744.75 is: 1,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.25 : 4,579.88 = 744.75 : x
  2. Step 2: Convert to fraction form
    3,053.25/4,579.88 = 744.75/x
  3. Step 3: Cross multiply
    3,053.25x = 4,579.88 × 744.75
  4. Step 4: Simplify right side
    3,053.25x = 3,410,861.91
  5. Step 5: Solve for x
    x = 3,410,861.91/3,053.25
  6. Step 6: Final answer
    x = 1,117.13

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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.