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Finding the Fourth Proportional to 1,974.34, 2,722.94 and 1,478.16

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Solution

The fourth proportional to 1,974.34, 2,722.94 and 1,478.16 is: 2,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.34 : 2,722.94 = 1,478.16 : x
  2. Step 2: Convert to fraction form
    1,974.34/2,722.94 = 1,478.16/x
  3. Step 3: Cross multiply
    1,974.34x = 2,722.94 × 1,478.16
  4. Step 4: Simplify right side
    1,974.34x = 4,024,940.99
  5. Step 5: Solve for x
    x = 4,024,940.99/1,974.34
  6. Step 6: Final answer
    x = 2,038.63

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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.