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Finding the Fourth Proportional to 2,354.86, 3,249.74 and 1,471.18

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Solution

The fourth proportional to 2,354.86, 3,249.74 and 1,471.18 is: 2,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.86 : 3,249.74 = 1,471.18 : x
  2. Step 2: Convert to fraction form
    2,354.86/3,249.74 = 1,471.18/x
  3. Step 3: Cross multiply
    2,354.86x = 3,249.74 × 1,471.18
  4. Step 4: Simplify right side
    2,354.86x = 4,780,952.49
  5. Step 5: Solve for x
    x = 4,780,952.49/2,354.86
  6. Step 6: Final answer
    x = 2,030.25

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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.