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Finding the Fourth Proportional to 2,062.80, 2,846.61 and 1,178.69

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Solution

The fourth proportional to 2,062.80, 2,846.61 and 1,178.69 is: 1,626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.80 : 2,846.61 = 1,178.69 : x
  2. Step 2: Convert to fraction form
    2,062.80/2,846.61 = 1,178.69/x
  3. Step 3: Cross multiply
    2,062.80x = 2,846.61 × 1,178.69
  4. Step 4: Simplify right side
    2,062.80x = 3,355,256.51
  5. Step 5: Solve for x
    x = 3,355,256.51/2,062.80
  6. Step 6: Final answer
    x = 1,626.55

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