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Finding the Fourth Proportional to 3,245.13, 4,478.07 and 1,828.89

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Solution

The fourth proportional to 3,245.13, 4,478.07 and 1,828.89 is: 2,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.13 : 4,478.07 = 1,828.89 : x
  2. Step 2: Convert to fraction form
    3,245.13/4,478.07 = 1,828.89/x
  3. Step 3: Cross multiply
    3,245.13x = 4,478.07 × 1,828.89
  4. Step 4: Simplify right side
    3,245.13x = 8,189,897.44
  5. Step 5: Solve for x
    x = 8,189,897.44/3,245.13
  6. Step 6: Final answer
    x = 2,523.75

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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.