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Finding the Fourth Proportional to 3,046.25, 4,569.40 and 737.75

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Solution

The fourth proportional to 3,046.25, 4,569.40 and 737.75 is: 1,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.25 : 4,569.40 = 737.75 : x
  2. Step 2: Convert to fraction form
    3,046.25/4,569.40 = 737.75/x
  3. Step 3: Cross multiply
    3,046.25x = 4,569.40 × 737.75
  4. Step 4: Simplify right side
    3,046.25x = 3,371,074.85
  5. Step 5: Solve for x
    x = 3,371,074.85/3,046.25
  6. Step 6: Final answer
    x = 1,106.63

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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.