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Finding the Fourth Proportional to 2,062.40, 2,846.19 and 1,178.48

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Solution

The fourth proportional to 2,062.40, 2,846.19 and 1,178.48 is: 1,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.40 : 2,846.19 = 1,178.48 : x
  2. Step 2: Convert to fraction form
    2,062.40/2,846.19 = 1,178.48/x
  3. Step 3: Cross multiply
    2,062.40x = 2,846.19 × 1,178.48
  4. Step 4: Simplify right side
    2,062.40x = 3,354,163.76
  5. Step 5: Solve for x
    x = 3,354,163.76/2,062.40
  6. Step 6: Final answer
    x = 1,626.34

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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.