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Finding the Fourth Proportional to 2,164.55, 2,992.91 and 1,887.75

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Solution

The fourth proportional to 2,164.55, 2,992.91 and 1,887.75 is: 2,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.55 : 2,992.91 = 1,887.75 : x
  2. Step 2: Convert to fraction form
    2,164.55/2,992.91 = 1,887.75/x
  3. Step 3: Cross multiply
    2,164.55x = 2,992.91 × 1,887.75
  4. Step 4: Simplify right side
    2,164.55x = 5,649,856.41
  5. Step 5: Solve for x
    x = 5,649,856.41/2,164.55
  6. Step 6: Final answer
    x = 2,610.18

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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.