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Finding the Fourth Proportional to 1,783.72, 2,674.24 and 550.40

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Solution

The fourth proportional to 1,783.72, 2,674.24 and 550.40 is: 825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.72 : 2,674.24 = 550.40 : x
  2. Step 2: Convert to fraction form
    1,783.72/2,674.24 = 550.40/x
  3. Step 3: Cross multiply
    1,783.72x = 2,674.24 × 550.40
  4. Step 4: Simplify right side
    1,783.72x = 1,471,907.01
  5. Step 5: Solve for x
    x = 1,471,907.01/1,783.72
  6. Step 6: Final answer
    x = 825.19

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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.