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Finding the Fourth Proportional to 2,333.58, 3,500.61 and 602.22

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Solution

The fourth proportional to 2,333.58, 3,500.61 and 602.22 is: 903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.58 : 3,500.61 = 602.22 : x
  2. Step 2: Convert to fraction form
    2,333.58/3,500.61 = 602.22/x
  3. Step 3: Cross multiply
    2,333.58x = 3,500.61 × 602.22
  4. Step 4: Simplify right side
    2,333.58x = 2,108,137.35
  5. Step 5: Solve for x
    x = 2,108,137.35/2,333.58
  6. Step 6: Final answer
    x = 903.39

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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.