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Finding the Fourth Proportional to 2,401.98, 3,602.43 and 758.49

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Solution

The fourth proportional to 2,401.98, 3,602.43 and 758.49 is: 1,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.98 : 3,602.43 = 758.49 : x
  2. Step 2: Convert to fraction form
    2,401.98/3,602.43 = 758.49/x
  3. Step 3: Cross multiply
    2,401.98x = 3,602.43 × 758.49
  4. Step 4: Simplify right side
    2,401.98x = 2,732,407.13
  5. Step 5: Solve for x
    x = 2,732,407.13/2,401.98
  6. Step 6: Final answer
    x = 1,137.56

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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.