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Finding the Fourth Proportional to 1,846.76, 2,771.16 and 1,436.72

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Solution

The fourth proportional to 1,846.76, 2,771.16 and 1,436.72 is: 2,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.76 : 2,771.16 = 1,436.72 : x
  2. Step 2: Convert to fraction form
    1,846.76/2,771.16 = 1,436.72/x
  3. Step 3: Cross multiply
    1,846.76x = 2,771.16 × 1,436.72
  4. Step 4: Simplify right side
    1,846.76x = 3,981,381.00
  5. Step 5: Solve for x
    x = 3,981,381.00/1,846.76
  6. Step 6: Final answer
    x = 2,155.87

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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.