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Finding the Fourth Proportional to 2,333.49, 3,500.27 and 578.50

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Solution

The fourth proportional to 2,333.49, 3,500.27 and 578.50 is: 867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.49 : 3,500.27 = 578.50 : x
  2. Step 2: Convert to fraction form
    2,333.49/3,500.27 = 578.50/x
  3. Step 3: Cross multiply
    2,333.49x = 3,500.27 × 578.50
  4. Step 4: Simplify right side
    2,333.49x = 2,024,906.20
  5. Step 5: Solve for x
    x = 2,024,906.20/2,333.49
  6. Step 6: Final answer
    x = 867.76

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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.