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Finding the Fourth Proportional to 2,889.41, 3,987.38 and 1,630.46

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Solution

The fourth proportional to 2,889.41, 3,987.38 and 1,630.46 is: 2,250.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.41 : 3,987.38 = 1,630.46 : x
  2. Step 2: Convert to fraction form
    2,889.41/3,987.38 = 1,630.46/x
  3. Step 3: Cross multiply
    2,889.41x = 3,987.38 × 1,630.46
  4. Step 4: Simplify right side
    2,889.41x = 6,501,235.51
  5. Step 5: Solve for x
    x = 6,501,235.51/2,889.41
  6. Step 6: Final answer
    x = 2,250.03

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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.