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Finding the Fourth Proportional to 2,042.86, 3,066.89 and 1,700.38

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Solution

The fourth proportional to 2,042.86, 3,066.89 and 1,700.38 is: 2,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.86 : 3,066.89 = 1,700.38 : x
  2. Step 2: Convert to fraction form
    2,042.86/3,066.89 = 1,700.38/x
  3. Step 3: Cross multiply
    2,042.86x = 3,066.89 × 1,700.38
  4. Step 4: Simplify right side
    2,042.86x = 5,214,878.42
  5. Step 5: Solve for x
    x = 5,214,878.42/2,042.86
  6. Step 6: Final answer
    x = 2,552.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.