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Finding the Fourth Proportional to 2,333.78, 3,500.74 and 602.41

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Solution

The fourth proportional to 2,333.78, 3,500.74 and 602.41 is: 903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.78 : 3,500.74 = 602.41 : x
  2. Step 2: Convert to fraction form
    2,333.78/3,500.74 = 602.41/x
  3. Step 3: Cross multiply
    2,333.78x = 3,500.74 × 602.41
  4. Step 4: Simplify right side
    2,333.78x = 2,108,880.78
  5. Step 5: Solve for x
    x = 2,108,880.78/2,333.78
  6. Step 6: Final answer
    x = 903.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.