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Finding the Fourth Proportional to 3,152.66, 4,724.16 and 1,836.82

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Solution

The fourth proportional to 3,152.66, 4,724.16 and 1,836.82 is: 2,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.66 : 4,724.16 = 1,836.82 : x
  2. Step 2: Convert to fraction form
    3,152.66/4,724.16 = 1,836.82/x
  3. Step 3: Cross multiply
    3,152.66x = 4,724.16 × 1,836.82
  4. Step 4: Simplify right side
    3,152.66x = 8,677,431.57
  5. Step 5: Solve for x
    x = 8,677,431.57/3,152.66
  6. Step 6: Final answer
    x = 2,752.42

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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.