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Finding the Fourth Proportional to 1,736.57, 2,599.20 and 1,274.24

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Solution

The fourth proportional to 1,736.57, 2,599.20 and 1,274.24 is: 1,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.57 : 2,599.20 = 1,274.24 : x
  2. Step 2: Convert to fraction form
    1,736.57/2,599.20 = 1,274.24/x
  3. Step 3: Cross multiply
    1,736.57x = 2,599.20 × 1,274.24
  4. Step 4: Simplify right side
    1,736.57x = 3,312,011.11
  5. Step 5: Solve for x
    x = 3,312,011.11/1,736.57
  6. Step 6: Final answer
    x = 1,907.21

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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.