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Finding the Fourth Proportional to 2,772.29, 4,152.74 and 1,844.87

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Solution

The fourth proportional to 2,772.29, 4,152.74 and 1,844.87 is: 2,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.29 : 4,152.74 = 1,844.87 : x
  2. Step 2: Convert to fraction form
    2,772.29/4,152.74 = 1,844.87/x
  3. Step 3: Cross multiply
    2,772.29x = 4,152.74 × 1,844.87
  4. Step 4: Simplify right side
    2,772.29x = 7,661,235.46
  5. Step 5: Solve for x
    x = 7,661,235.46/2,772.29
  6. Step 6: Final answer
    x = 2,763.50

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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.