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Finding the Fourth Proportional to 3,294.24, 4,546.02 and 1,802.14

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Solution

The fourth proportional to 3,294.24, 4,546.02 and 1,802.14 is: 2,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.24 : 4,546.02 = 1,802.14 : x
  2. Step 2: Convert to fraction form
    3,294.24/4,546.02 = 1,802.14/x
  3. Step 3: Cross multiply
    3,294.24x = 4,546.02 × 1,802.14
  4. Step 4: Simplify right side
    3,294.24x = 8,192,577.00
  5. Step 5: Solve for x
    x = 8,192,577.00/3,294.24
  6. Step 6: Final answer
    x = 2,486.94

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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.