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Finding the Fourth Proportional to 2,725.69, 3,763.56 and 2,095.21

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Solution

The fourth proportional to 2,725.69, 3,763.56 and 2,095.21 is: 2,893.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.69 : 3,763.56 = 2,095.21 : x
  2. Step 2: Convert to fraction form
    2,725.69/3,763.56 = 2,095.21/x
  3. Step 3: Cross multiply
    2,725.69x = 3,763.56 × 2,095.21
  4. Step 4: Simplify right side
    2,725.69x = 7,885,448.55
  5. Step 5: Solve for x
    x = 7,885,448.55/2,725.69
  6. Step 6: Final answer
    x = 2,893.01

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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.