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Finding the Fourth Proportional to 2,981.84, 4,114.98 and 1,803.29

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Solution

The fourth proportional to 2,981.84, 4,114.98 and 1,803.29 is: 2,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.84 : 4,114.98 = 1,803.29 : x
  2. Step 2: Convert to fraction form
    2,981.84/4,114.98 = 1,803.29/x
  3. Step 3: Cross multiply
    2,981.84x = 4,114.98 × 1,803.29
  4. Step 4: Simplify right side
    2,981.84x = 7,420,481.71
  5. Step 5: Solve for x
    x = 7,420,481.71/2,981.84
  6. Step 6: Final answer
    x = 2,488.56

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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.