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Finding the Fourth Proportional to 3,201.04, 4,417.47 and 1,803.79

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Solution

The fourth proportional to 3,201.04, 4,417.47 and 1,803.79 is: 2,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.04 : 4,417.47 = 1,803.79 : x
  2. Step 2: Convert to fraction form
    3,201.04/4,417.47 = 1,803.79/x
  3. Step 3: Cross multiply
    3,201.04x = 4,417.47 × 1,803.79
  4. Step 4: Simplify right side
    3,201.04x = 7,968,188.21
  5. Step 5: Solve for x
    x = 7,968,188.21/3,201.04
  6. Step 6: Final answer
    x = 2,489.25

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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.