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Finding the Fourth Proportional to 2,354.63, 3,532.77 and 873.86

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Solution

The fourth proportional to 2,354.63, 3,532.77 and 873.86 is: 1,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.63 : 3,532.77 = 873.86 : x
  2. Step 2: Convert to fraction form
    2,354.63/3,532.77 = 873.86/x
  3. Step 3: Cross multiply
    2,354.63x = 3,532.77 × 873.86
  4. Step 4: Simplify right side
    2,354.63x = 3,087,128.73
  5. Step 5: Solve for x
    x = 3,087,128.73/2,354.63
  6. Step 6: Final answer
    x = 1,311.09

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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.