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Finding the Fourth Proportional to 2,235.31, 3,352.97 and 591.98

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Solution

The fourth proportional to 2,235.31, 3,352.97 and 591.98 is: 887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.31 : 3,352.97 = 591.98 : x
  2. Step 2: Convert to fraction form
    2,235.31/3,352.97 = 591.98/x
  3. Step 3: Cross multiply
    2,235.31x = 3,352.97 × 591.98
  4. Step 4: Simplify right side
    2,235.31x = 1,984,904.74
  5. Step 5: Solve for x
    x = 1,984,904.74/2,235.31
  6. Step 6: Final answer
    x = 887.98

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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.