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Finding the Fourth Proportional to 2,401.79, 3,603.55 and 842.22

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Solution

The fourth proportional to 2,401.79, 3,603.55 and 842.22 is: 1,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.79 : 3,603.55 = 842.22 : x
  2. Step 2: Convert to fraction form
    2,401.79/3,603.55 = 842.22/x
  3. Step 3: Cross multiply
    2,401.79x = 3,603.55 × 842.22
  4. Step 4: Simplify right side
    2,401.79x = 3,034,979.78
  5. Step 5: Solve for x
    x = 3,034,979.78/2,401.79
  6. Step 6: Final answer
    x = 1,263.64

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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.