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Finding the Fourth Proportional to 2,213.84, 3,054.12 and 1,769.36

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Solution

The fourth proportional to 2,213.84, 3,054.12 and 1,769.36 is: 2,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.84 : 3,054.12 = 1,769.36 : x
  2. Step 2: Convert to fraction form
    2,213.84/3,054.12 = 1,769.36/x
  3. Step 3: Cross multiply
    2,213.84x = 3,054.12 × 1,769.36
  4. Step 4: Simplify right side
    2,213.84x = 5,403,837.76
  5. Step 5: Solve for x
    x = 5,403,837.76/2,213.84
  6. Step 6: Final answer
    x = 2,440.93

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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.