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Finding the Fourth Proportional to 2,375.24, 3,560.94 and 893.61

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Solution

The fourth proportional to 2,375.24, 3,560.94 and 893.61 is: 1,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.24 : 3,560.94 = 893.61 : x
  2. Step 2: Convert to fraction form
    2,375.24/3,560.94 = 893.61/x
  3. Step 3: Cross multiply
    2,375.24x = 3,560.94 × 893.61
  4. Step 4: Simplify right side
    2,375.24x = 3,182,091.59
  5. Step 5: Solve for x
    x = 3,182,091.59/2,375.24
  6. Step 6: Final answer
    x = 1,339.70

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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.