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Finding the Fourth Proportional to 2,401.98, 3,603.12 and 758.58

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Solution

The fourth proportional to 2,401.98, 3,603.12 and 758.58 is: 1,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.98 : 3,603.12 = 758.58 : x
  2. Step 2: Convert to fraction form
    2,401.98/3,603.12 = 758.58/x
  3. Step 3: Cross multiply
    2,401.98x = 3,603.12 × 758.58
  4. Step 4: Simplify right side
    2,401.98x = 2,733,254.77
  5. Step 5: Solve for x
    x = 2,733,254.77/2,401.98
  6. Step 6: Final answer
    x = 1,137.92

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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.