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Finding the Fourth Proportional to 2,274.29, 3,411.41 and 608.42

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Solution

The fourth proportional to 2,274.29, 3,411.41 and 608.42 is: 912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.29 : 3,411.41 = 608.42 : x
  2. Step 2: Convert to fraction form
    2,274.29/3,411.41 = 608.42/x
  3. Step 3: Cross multiply
    2,274.29x = 3,411.41 × 608.42
  4. Step 4: Simplify right side
    2,274.29x = 2,075,553.02
  5. Step 5: Solve for x
    x = 2,075,553.02/2,274.29
  6. Step 6: Final answer
    x = 912.62

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Why These Related Problems?

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