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Finding the Fourth Proportional to 2,066.60, 2,853.02 and 1,593.46

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Solution

The fourth proportional to 2,066.60, 2,853.02 and 1,593.46 is: 2,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.60 : 2,853.02 = 1,593.46 : x
  2. Step 2: Convert to fraction form
    2,066.60/2,853.02 = 1,593.46/x
  3. Step 3: Cross multiply
    2,066.60x = 2,853.02 × 1,593.46
  4. Step 4: Simplify right side
    2,066.60x = 4,546,166.12
  5. Step 5: Solve for x
    x = 4,546,166.12/2,066.60
  6. Step 6: Final answer
    x = 2,199.83

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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.