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Finding the Fourth Proportional to 1,946.92, 2,686.76 and 1,062.67

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Solution

The fourth proportional to 1,946.92, 2,686.76 and 1,062.67 is: 1,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.92 : 2,686.76 = 1,062.67 : x
  2. Step 2: Convert to fraction form
    1,946.92/2,686.76 = 1,062.67/x
  3. Step 3: Cross multiply
    1,946.92x = 2,686.76 × 1,062.67
  4. Step 4: Simplify right side
    1,946.92x = 2,855,132.53
  5. Step 5: Solve for x
    x = 2,855,132.53/1,946.92
  6. Step 6: Final answer
    x = 1,466.49

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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.