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Finding the Fourth Proportional to 1,645.60, 2,450.73 and 1,574.52

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Solution

The fourth proportional to 1,645.60, 2,450.73 and 1,574.52 is: 2,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.60 : 2,450.73 = 1,574.52 : x
  2. Step 2: Convert to fraction form
    1,645.60/2,450.73 = 1,574.52/x
  3. Step 3: Cross multiply
    1,645.60x = 2,450.73 × 1,574.52
  4. Step 4: Simplify right side
    1,645.60x = 3,858,715.53
  5. Step 5: Solve for x
    x = 3,858,715.53/1,645.60
  6. Step 6: Final answer
    x = 2,344.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.