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Finding the Fourth Proportional to 2,234.97, 3,352.61 and 591.50

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Solution

The fourth proportional to 2,234.97, 3,352.61 and 591.50 is: 887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.97 : 3,352.61 = 591.50 : x
  2. Step 2: Convert to fraction form
    2,234.97/3,352.61 = 591.50/x
  3. Step 3: Cross multiply
    2,234.97x = 3,352.61 × 591.50
  4. Step 4: Simplify right side
    2,234.97x = 1,983,068.82
  5. Step 5: Solve for x
    x = 1,983,068.82/2,234.97
  6. Step 6: Final answer
    x = 887.29

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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.