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Finding the Fourth Proportional to 2,981.47, 4,471.16 and 1,225.96

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Solution

The fourth proportional to 2,981.47, 4,471.16 and 1,225.96 is: 1,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.47 : 4,471.16 = 1,225.96 : x
  2. Step 2: Convert to fraction form
    2,981.47/4,471.16 = 1,225.96/x
  3. Step 3: Cross multiply
    2,981.47x = 4,471.16 × 1,225.96
  4. Step 4: Simplify right side
    2,981.47x = 5,481,457.18
  5. Step 5: Solve for x
    x = 5,481,457.18/2,981.47
  6. Step 6: Final answer
    x = 1,838.51

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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.