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Finding the Fourth Proportional to 2,062.52, 2,846.48 and 1,178.45

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Solution

The fourth proportional to 2,062.52, 2,846.48 and 1,178.45 is: 1,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.52 : 2,846.48 = 1,178.45 : x
  2. Step 2: Convert to fraction form
    2,062.52/2,846.48 = 1,178.45/x
  3. Step 3: Cross multiply
    2,062.52x = 2,846.48 × 1,178.45
  4. Step 4: Simplify right side
    2,062.52x = 3,354,434.36
  5. Step 5: Solve for x
    x = 3,354,434.36/2,062.52
  6. Step 6: Final answer
    x = 1,626.38

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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.