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Finding the Fourth Proportional to 3,001.86, 4,142.71 and 2,007.54

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Solution

The fourth proportional to 3,001.86, 4,142.71 and 2,007.54 is: 2,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.86 : 4,142.71 = 2,007.54 : x
  2. Step 2: Convert to fraction form
    3,001.86/4,142.71 = 2,007.54/x
  3. Step 3: Cross multiply
    3,001.86x = 4,142.71 × 2,007.54
  4. Step 4: Simplify right side
    3,001.86x = 8,316,656.03
  5. Step 5: Solve for x
    x = 8,316,656.03/3,001.86
  6. Step 6: Final answer
    x = 2,770.50

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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.