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Finding the Fourth Proportional to 2,643.84, 3,654.72 and 2,021.76

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Solution

The fourth proportional to 2,643.84, 3,654.72 and 2,021.76 is: 2,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.84 : 3,654.72 = 2,021.76 : x
  2. Step 2: Convert to fraction form
    2,643.84/3,654.72 = 2,021.76/x
  3. Step 3: Cross multiply
    2,643.84x = 3,654.72 × 2,021.76
  4. Step 4: Simplify right side
    2,643.84x = 7,388,966.71
  5. Step 5: Solve for x
    x = 7,388,966.71/2,643.84
  6. Step 6: Final answer
    x = 2,794.79

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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.