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Finding the Fourth Proportional to 2,333.54, 3,500.30 and 602.17

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Solution

The fourth proportional to 2,333.54, 3,500.30 and 602.17 is: 903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.54 : 3,500.30 = 602.17 : x
  2. Step 2: Convert to fraction form
    2,333.54/3,500.30 = 602.17/x
  3. Step 3: Cross multiply
    2,333.54x = 3,500.30 × 602.17
  4. Step 4: Simplify right side
    2,333.54x = 2,107,768.41
  5. Step 5: Solve for x
    x = 2,107,768.41/2,333.54
  6. Step 6: Final answer
    x = 903.25

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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.