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Finding the Fourth Proportional to 2,393.38, 3,582.84 and 1,294.41

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Solution

The fourth proportional to 2,393.38, 3,582.84 and 1,294.41 is: 1,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.38 : 3,582.84 = 1,294.41 : x
  2. Step 2: Convert to fraction form
    2,393.38/3,582.84 = 1,294.41/x
  3. Step 3: Cross multiply
    2,393.38x = 3,582.84 × 1,294.41
  4. Step 4: Simplify right side
    2,393.38x = 4,637,682.21
  5. Step 5: Solve for x
    x = 4,637,682.21/2,393.38
  6. Step 6: Final answer
    x = 1,937.71

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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.