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Finding the Fourth Proportional to 2,832.52, 3,909.09 and 1,653.34

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Solution

The fourth proportional to 2,832.52, 3,909.09 and 1,653.34 is: 2,281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.52 : 3,909.09 = 1,653.34 : x
  2. Step 2: Convert to fraction form
    2,832.52/3,909.09 = 1,653.34/x
  3. Step 3: Cross multiply
    2,832.52x = 3,909.09 × 1,653.34
  4. Step 4: Simplify right side
    2,832.52x = 6,463,054.86
  5. Step 5: Solve for x
    x = 6,463,054.86/2,832.52
  6. Step 6: Final answer
    x = 2,281.73

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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.