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Finding the Fourth Proportional to 2,574.38, 3,860.66 and 1,757.90

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Solution

The fourth proportional to 2,574.38, 3,860.66 and 1,757.90 is: 2,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.38 : 3,860.66 = 1,757.90 : x
  2. Step 2: Convert to fraction form
    2,574.38/3,860.66 = 1,757.90/x
  3. Step 3: Cross multiply
    2,574.38x = 3,860.66 × 1,757.90
  4. Step 4: Simplify right side
    2,574.38x = 6,786,668.26
  5. Step 5: Solve for x
    x = 6,786,668.26/2,574.38
  6. Step 6: Final answer
    x = 2,636.23

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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.