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Finding the Fourth Proportional to 2,651.15, 3,658.26 and 1,574.25

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Solution

The fourth proportional to 2,651.15, 3,658.26 and 1,574.25 is: 2,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.15 : 3,658.26 = 1,574.25 : x
  2. Step 2: Convert to fraction form
    2,651.15/3,658.26 = 1,574.25/x
  3. Step 3: Cross multiply
    2,651.15x = 3,658.26 × 1,574.25
  4. Step 4: Simplify right side
    2,651.15x = 5,759,035.43
  5. Step 5: Solve for x
    x = 5,759,035.43/2,651.15
  6. Step 6: Final answer
    x = 2,172.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.