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Finding the Fourth Proportional to 1,981.76, 2,983.19 and 1,803.20

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Solution

The fourth proportional to 1,981.76, 2,983.19 and 1,803.20 is: 2,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.76 : 2,983.19 = 1,803.20 : x
  2. Step 2: Convert to fraction form
    1,981.76/2,983.19 = 1,803.20/x
  3. Step 3: Cross multiply
    1,981.76x = 2,983.19 × 1,803.20
  4. Step 4: Simplify right side
    1,981.76x = 5,379,288.21
  5. Step 5: Solve for x
    x = 5,379,288.21/1,981.76
  6. Step 6: Final answer
    x = 2,714.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.