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Finding the Fourth Proportional to 1,973.03, 2,959.47 and 1,327.86

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Solution

The fourth proportional to 1,973.03, 2,959.47 and 1,327.86 is: 1,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.03 : 2,959.47 = 1,327.86 : x
  2. Step 2: Convert to fraction form
    1,973.03/2,959.47 = 1,327.86/x
  3. Step 3: Cross multiply
    1,973.03x = 2,959.47 × 1,327.86
  4. Step 4: Simplify right side
    1,973.03x = 3,929,761.83
  5. Step 5: Solve for x
    x = 3,929,761.83/1,973.03
  6. Step 6: Final answer
    x = 1,991.74

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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.