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Finding the Fourth Proportional to 2,523.47, 3,480.21 and 1,578.29

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Solution

The fourth proportional to 2,523.47, 3,480.21 and 1,578.29 is: 2,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.47 : 3,480.21 = 1,578.29 : x
  2. Step 2: Convert to fraction form
    2,523.47/3,480.21 = 1,578.29/x
  3. Step 3: Cross multiply
    2,523.47x = 3,480.21 × 1,578.29
  4. Step 4: Simplify right side
    2,523.47x = 5,492,763.24
  5. Step 5: Solve for x
    x = 5,492,763.24/2,523.47
  6. Step 6: Final answer
    x = 2,176.68

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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.