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Finding the Fourth Proportional to 3,218.81, 4,441.74 and 1,802.26

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Solution

The fourth proportional to 3,218.81, 4,441.74 and 1,802.26 is: 2,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.81 : 4,441.74 = 1,802.26 : x
  2. Step 2: Convert to fraction form
    3,218.81/4,441.74 = 1,802.26/x
  3. Step 3: Cross multiply
    3,218.81x = 4,441.74 × 1,802.26
  4. Step 4: Simplify right side
    3,218.81x = 8,005,159.23
  5. Step 5: Solve for x
    x = 8,005,159.23/3,218.81
  6. Step 6: Final answer
    x = 2,486.99

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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.