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Finding the Fourth Proportional to 2,235.17, 3,352.91 and 591.70

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Solution

The fourth proportional to 2,235.17, 3,352.91 and 591.70 is: 887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.17 : 3,352.91 = 591.70 : x
  2. Step 2: Convert to fraction form
    2,235.17/3,352.91 = 591.70/x
  3. Step 3: Cross multiply
    2,235.17x = 3,352.91 × 591.70
  4. Step 4: Simplify right side
    2,235.17x = 1,983,897.12
  5. Step 5: Solve for x
    x = 1,983,897.12/2,235.17
  6. Step 6: Final answer
    x = 887.58

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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.