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Finding the Fourth Proportional to 2,066.96, 3,083.66 and 1,897.61

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Solution

The fourth proportional to 2,066.96, 3,083.66 and 1,897.61 is: 2,831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.96 : 3,083.66 = 1,897.61 : x
  2. Step 2: Convert to fraction form
    2,066.96/3,083.66 = 1,897.61/x
  3. Step 3: Cross multiply
    2,066.96x = 3,083.66 × 1,897.61
  4. Step 4: Simplify right side
    2,066.96x = 5,851,584.05
  5. Step 5: Solve for x
    x = 5,851,584.05/2,066.96
  6. Step 6: Final answer
    x = 2,831.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.