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Finding the Fourth Proportional to 2,444.74, 3,661.44 and 1,208.30

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Solution

The fourth proportional to 2,444.74, 3,661.44 and 1,208.30 is: 1,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.74 : 3,661.44 = 1,208.30 : x
  2. Step 2: Convert to fraction form
    2,444.74/3,661.44 = 1,208.30/x
  3. Step 3: Cross multiply
    2,444.74x = 3,661.44 × 1,208.30
  4. Step 4: Simplify right side
    2,444.74x = 4,424,117.95
  5. Step 5: Solve for x
    x = 4,424,117.95/2,444.74
  6. Step 6: Final answer
    x = 1,809.65

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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.