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Finding the Fourth Proportional to 2,538.90, 3,808.89 and 895.50

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Solution

The fourth proportional to 2,538.90, 3,808.89 and 895.50 is: 1,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.90 : 3,808.89 = 895.50 : x
  2. Step 2: Convert to fraction form
    2,538.90/3,808.89 = 895.50/x
  3. Step 3: Cross multiply
    2,538.90x = 3,808.89 × 895.50
  4. Step 4: Simplify right side
    2,538.90x = 3,410,861.00
  5. Step 5: Solve for x
    x = 3,410,861.00/2,538.90
  6. Step 6: Final answer
    x = 1,343.44

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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.