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Finding the Fourth Proportional to 2,513.68, 3,745.43 and 2,401.90

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Solution

The fourth proportional to 2,513.68, 3,745.43 and 2,401.90 is: 3,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.68 : 3,745.43 = 2,401.90 : x
  2. Step 2: Convert to fraction form
    2,513.68/3,745.43 = 2,401.90/x
  3. Step 3: Cross multiply
    2,513.68x = 3,745.43 × 2,401.90
  4. Step 4: Simplify right side
    2,513.68x = 8,996,148.32
  5. Step 5: Solve for x
    x = 8,996,148.32/2,513.68
  6. Step 6: Final answer
    x = 3,578.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.