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Finding the Fourth Proportional to 2,945.22, 4,062.87 and 1,825.80

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Solution

The fourth proportional to 2,945.22, 4,062.87 and 1,825.80 is: 2,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.22 : 4,062.87 = 1,825.80 : x
  2. Step 2: Convert to fraction form
    2,945.22/4,062.87 = 1,825.80/x
  3. Step 3: Cross multiply
    2,945.22x = 4,062.87 × 1,825.80
  4. Step 4: Simplify right side
    2,945.22x = 7,417,988.05
  5. Step 5: Solve for x
    x = 7,417,988.05/2,945.22
  6. Step 6: Final answer
    x = 2,518.65

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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.