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Finding the Fourth Proportional to 1,541.75, 2,127.62 and 920.75

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Solution

The fourth proportional to 1,541.75, 2,127.62 and 920.75 is: 1,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.75 : 2,127.62 = 920.75 : x
  2. Step 2: Convert to fraction form
    1,541.75/2,127.62 = 920.75/x
  3. Step 3: Cross multiply
    1,541.75x = 2,127.62 × 920.75
  4. Step 4: Simplify right side
    1,541.75x = 1,959,006.12
  5. Step 5: Solve for x
    x = 1,959,006.12/1,541.75
  6. Step 6: Final answer
    x = 1,270.64

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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.