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Finding the Fourth Proportional to 2,748.72, 3,798.24 and 2,084.40

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Solution

The fourth proportional to 2,748.72, 3,798.24 and 2,084.40 is: 2,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.72 : 3,798.24 = 2,084.40 : x
  2. Step 2: Convert to fraction form
    2,748.72/3,798.24 = 2,084.40/x
  3. Step 3: Cross multiply
    2,748.72x = 3,798.24 × 2,084.40
  4. Step 4: Simplify right side
    2,748.72x = 7,917,051.46
  5. Step 5: Solve for x
    x = 7,917,051.46/2,748.72
  6. Step 6: Final answer
    x = 2,880.27

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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.