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Finding the Fourth Proportional to 2,886.66, 4,326.09 and 1,497.09

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Solution

The fourth proportional to 2,886.66, 4,326.09 and 1,497.09 is: 2,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.66 : 4,326.09 = 1,497.09 : x
  2. Step 2: Convert to fraction form
    2,886.66/4,326.09 = 1,497.09/x
  3. Step 3: Cross multiply
    2,886.66x = 4,326.09 × 1,497.09
  4. Step 4: Simplify right side
    2,886.66x = 6,476,546.08
  5. Step 5: Solve for x
    x = 6,476,546.08/2,886.66
  6. Step 6: Final answer
    x = 2,243.61

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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.