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Finding the Fourth Proportional to 2,066.58, 2,846.61 and 1,593.54

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Solution

The fourth proportional to 2,066.58, 2,846.61 and 1,593.54 is: 2,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.58 : 2,846.61 = 1,593.54 : x
  2. Step 2: Convert to fraction form
    2,066.58/2,846.61 = 1,593.54/x
  3. Step 3: Cross multiply
    2,066.58x = 2,846.61 × 1,593.54
  4. Step 4: Simplify right side
    2,066.58x = 4,536,186.90
  5. Step 5: Solve for x
    x = 4,536,186.90/2,066.58
  6. Step 6: Final answer
    x = 2,195.02

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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.