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Finding the Fourth Proportional to 1,946.71, 2,686.48 and 1,062.52

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Solution

The fourth proportional to 1,946.71, 2,686.48 and 1,062.52 is: 1,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.71 : 2,686.48 = 1,062.52 : x
  2. Step 2: Convert to fraction form
    1,946.71/2,686.48 = 1,062.52/x
  3. Step 3: Cross multiply
    1,946.71x = 2,686.48 × 1,062.52
  4. Step 4: Simplify right side
    1,946.71x = 2,854,438.73
  5. Step 5: Solve for x
    x = 2,854,438.73/1,946.71
  6. Step 6: Final answer
    x = 1,466.29

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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.