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Finding the Fourth Proportional to 1,946.91, 2,686.74 and 1,062.69

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Solution

The fourth proportional to 1,946.91, 2,686.74 and 1,062.69 is: 1,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.91 : 2,686.74 = 1,062.69 : x
  2. Step 2: Convert to fraction form
    1,946.91/2,686.74 = 1,062.69/x
  3. Step 3: Cross multiply
    1,946.91x = 2,686.74 × 1,062.69
  4. Step 4: Simplify right side
    1,946.91x = 2,855,171.73
  5. Step 5: Solve for x
    x = 2,855,171.73/1,946.91
  6. Step 6: Final answer
    x = 1,466.51

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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.