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Finding the Fourth Proportional to 2,040.86, 3,054.71 and 1,849.02

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Solution

The fourth proportional to 2,040.86, 3,054.71 and 1,849.02 is: 2,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.86 : 3,054.71 = 1,849.02 : x
  2. Step 2: Convert to fraction form
    2,040.86/3,054.71 = 1,849.02/x
  3. Step 3: Cross multiply
    2,040.86x = 3,054.71 × 1,849.02
  4. Step 4: Simplify right side
    2,040.86x = 5,648,210.64
  5. Step 5: Solve for x
    x = 5,648,210.64/2,040.86
  6. Step 6: Final answer
    x = 2,767.57

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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.