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Finding the Fourth Proportional to 1,946.92, 2,686.70 and 1,790.19

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Solution

The fourth proportional to 1,946.92, 2,686.70 and 1,790.19 is: 2,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.92 : 2,686.70 = 1,790.19 : x
  2. Step 2: Convert to fraction form
    1,946.92/2,686.70 = 1,790.19/x
  3. Step 3: Cross multiply
    1,946.92x = 2,686.70 × 1,790.19
  4. Step 4: Simplify right side
    1,946.92x = 4,809,691.16
  5. Step 5: Solve for x
    x = 4,809,691.16/1,946.92
  6. Step 6: Final answer
    x = 2,470.41

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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.