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Finding the Fourth Proportional to 3,146.43, 4,714.74 and 1,989.75

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Solution

The fourth proportional to 3,146.43, 4,714.74 and 1,989.75 is: 2,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.43 : 4,714.74 = 1,989.75 : x
  2. Step 2: Convert to fraction form
    3,146.43/4,714.74 = 1,989.75/x
  3. Step 3: Cross multiply
    3,146.43x = 4,714.74 × 1,989.75
  4. Step 4: Simplify right side
    3,146.43x = 9,381,153.92
  5. Step 5: Solve for x
    x = 9,381,153.92/3,146.43
  6. Step 6: Final answer
    x = 2,981.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.