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Finding the Fourth Proportional to 2,166.35, 2,987.55 and 1,447.27

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Solution

The fourth proportional to 2,166.35, 2,987.55 and 1,447.27 is: 1,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.35 : 2,987.55 = 1,447.27 : x
  2. Step 2: Convert to fraction form
    2,166.35/2,987.55 = 1,447.27/x
  3. Step 3: Cross multiply
    2,166.35x = 2,987.55 × 1,447.27
  4. Step 4: Simplify right side
    2,166.35x = 4,323,784.02
  5. Step 5: Solve for x
    x = 4,323,784.02/2,166.35
  6. Step 6: Final answer
    x = 1,995.89

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