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Finding the Fourth Proportional to 1,946.50, 2,686.17 and 1,449.57

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Solution

The fourth proportional to 1,946.50, 2,686.17 and 1,449.57 is: 2,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.50 : 2,686.17 = 1,449.57 : x
  2. Step 2: Convert to fraction form
    1,946.50/2,686.17 = 1,449.57/x
  3. Step 3: Cross multiply
    1,946.50x = 2,686.17 × 1,449.57
  4. Step 4: Simplify right side
    1,946.50x = 3,893,778.02
  5. Step 5: Solve for x
    x = 3,893,778.02/1,946.50
  6. Step 6: Final answer
    x = 2,000.40

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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.