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Finding the Fourth Proportional to 2,534.24, 3,800.95 and 890.40

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Solution

The fourth proportional to 2,534.24, 3,800.95 and 890.40 is: 1,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.24 : 3,800.95 = 890.40 : x
  2. Step 2: Convert to fraction form
    2,534.24/3,800.95 = 890.40/x
  3. Step 3: Cross multiply
    2,534.24x = 3,800.95 × 890.40
  4. Step 4: Simplify right side
    2,534.24x = 3,384,379.16
  5. Step 5: Solve for x
    x = 3,384,379.16/2,534.24
  6. Step 6: Final answer
    x = 1,335.46

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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.