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Finding the Fourth Proportional to 1,550.89, 2,325.51 and 892.63

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Solution

The fourth proportional to 1,550.89, 2,325.51 and 892.63 is: 1,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.89 : 2,325.51 = 892.63 : x
  2. Step 2: Convert to fraction form
    1,550.89/2,325.51 = 892.63/x
  3. Step 3: Cross multiply
    1,550.89x = 2,325.51 × 892.63
  4. Step 4: Simplify right side
    1,550.89x = 2,075,819.99
  5. Step 5: Solve for x
    x = 2,075,819.99/1,550.89
  6. Step 6: Final answer
    x = 1,338.47

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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.