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Finding the Fourth Proportional to 2,889.43, 3,987.86 and 1,897.58

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Solution

The fourth proportional to 2,889.43, 3,987.86 and 1,897.58 is: 2,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.43 : 3,987.86 = 1,897.58 : x
  2. Step 2: Convert to fraction form
    2,889.43/3,987.86 = 1,897.58/x
  3. Step 3: Cross multiply
    2,889.43x = 3,987.86 × 1,897.58
  4. Step 4: Simplify right side
    2,889.43x = 7,567,283.38
  5. Step 5: Solve for x
    x = 7,567,283.38/2,889.43
  6. Step 6: Final answer
    x = 2,618.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.