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Finding the Fourth Proportional to 2,736.96, 3,776.63 and 1,541.75

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Solution

The fourth proportional to 2,736.96, 3,776.63 and 1,541.75 is: 2,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.96 : 3,776.63 = 1,541.75 : x
  2. Step 2: Convert to fraction form
    2,736.96/3,776.63 = 1,541.75/x
  3. Step 3: Cross multiply
    2,736.96x = 3,776.63 × 1,541.75
  4. Step 4: Simplify right side
    2,736.96x = 5,822,592.71
  5. Step 5: Solve for x
    x = 5,822,592.71/2,736.96
  6. Step 6: Final answer
    x = 2,127.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.