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Finding the Fourth Proportional to 1,243.17, 1,864.38 and 895.46

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Solution

The fourth proportional to 1,243.17, 1,864.38 and 895.46 is: 1,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.17 : 1,864.38 = 895.46 : x
  2. Step 2: Convert to fraction form
    1,243.17/1,864.38 = 895.46/x
  3. Step 3: Cross multiply
    1,243.17x = 1,864.38 × 895.46
  4. Step 4: Simplify right side
    1,243.17x = 1,669,471.75
  5. Step 5: Solve for x
    x = 1,669,471.75/1,243.17
  6. Step 6: Final answer
    x = 1,342.92

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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.