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Finding the Fourth Proportional to 2,283.12, 3,424.14 and 895.98

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Solution

The fourth proportional to 2,283.12, 3,424.14 and 895.98 is: 1,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.12 : 3,424.14 = 895.98 : x
  2. Step 2: Convert to fraction form
    2,283.12/3,424.14 = 895.98/x
  3. Step 3: Cross multiply
    2,283.12x = 3,424.14 × 895.98
  4. Step 4: Simplify right side
    2,283.12x = 3,067,960.96
  5. Step 5: Solve for x
    x = 3,067,960.96/2,283.12
  6. Step 6: Final answer
    x = 1,343.76

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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.