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Finding the Fourth Proportional to 1,991.34, 2,987.49 and 1,407.47

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Solution

The fourth proportional to 1,991.34, 2,987.49 and 1,407.47 is: 2,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.34 : 2,987.49 = 1,407.47 : x
  2. Step 2: Convert to fraction form
    1,991.34/2,987.49 = 1,407.47/x
  3. Step 3: Cross multiply
    1,991.34x = 2,987.49 × 1,407.47
  4. Step 4: Simplify right side
    1,991.34x = 4,204,787.61
  5. Step 5: Solve for x
    x = 4,204,787.61/1,991.34
  6. Step 6: Final answer
    x = 2,111.54

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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.