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Finding the Fourth Proportional to 2,383.74, 3,570.99 and 1,340.57

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Solution

The fourth proportional to 2,383.74, 3,570.99 and 1,340.57 is: 2,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.74 : 3,570.99 = 1,340.57 : x
  2. Step 2: Convert to fraction form
    2,383.74/3,570.99 = 1,340.57/x
  3. Step 3: Cross multiply
    2,383.74x = 3,570.99 × 1,340.57
  4. Step 4: Simplify right side
    2,383.74x = 4,787,144.21
  5. Step 5: Solve for x
    x = 4,787,144.21/2,383.74
  6. Step 6: Final answer
    x = 2,008.25

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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.