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Finding the Fourth Proportional to 1,946.78, 2,686.50 and 1,062.57

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Solution

The fourth proportional to 1,946.78, 2,686.50 and 1,062.57 is: 1,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.78 : 2,686.50 = 1,062.57 : x
  2. Step 2: Convert to fraction form
    1,946.78/2,686.50 = 1,062.57/x
  3. Step 3: Cross multiply
    1,946.78x = 2,686.50 × 1,062.57
  4. Step 4: Simplify right side
    1,946.78x = 2,854,594.31
  5. Step 5: Solve for x
    x = 2,854,594.31/1,946.78
  6. Step 6: Final answer
    x = 1,466.32

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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.