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Finding the Fourth Proportional to 1,541.64, 2,127.42 and 843

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Solution

The fourth proportional to 1,541.64, 2,127.42 and 843 is: 1,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.64 : 2,127.42 = 843 : x
  2. Step 2: Convert to fraction form
    1,541.64/2,127.42 = 843/x
  3. Step 3: Cross multiply
    1,541.64x = 2,127.42 × 843
  4. Step 4: Simplify right side
    1,541.64x = 1,793,415.06
  5. Step 5: Solve for x
    x = 1,793,415.06/1,541.64
  6. Step 6: Final answer
    x = 1,163.32

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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.