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Finding the Fourth Proportional to 2,523.98, 3,783.85 and 1,206.99

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Solution

The fourth proportional to 2,523.98, 3,783.85 and 1,206.99 is: 1,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.98 : 3,783.85 = 1,206.99 : x
  2. Step 2: Convert to fraction form
    2,523.98/3,783.85 = 1,206.99/x
  3. Step 3: Cross multiply
    2,523.98x = 3,783.85 × 1,206.99
  4. Step 4: Simplify right side
    2,523.98x = 4,567,066.09
  5. Step 5: Solve for x
    x = 4,567,066.09/2,523.98
  6. Step 6: Final answer
    x = 1,809.47

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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.