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Finding the Fourth Proportional to 2,242.26, 3,363.12 and 598.77

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Solution

The fourth proportional to 2,242.26, 3,363.12 and 598.77 is: 898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.26 : 3,363.12 = 598.77 : x
  2. Step 2: Convert to fraction form
    2,242.26/3,363.12 = 598.77/x
  3. Step 3: Cross multiply
    2,242.26x = 3,363.12 × 598.77
  4. Step 4: Simplify right side
    2,242.26x = 2,013,735.36
  5. Step 5: Solve for x
    x = 2,013,735.36/2,242.26
  6. Step 6: Final answer
    x = 898.08

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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.