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Finding the Fourth Proportional to 1,783.08, 2,674.92 and 743.64

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Solution

The fourth proportional to 1,783.08, 2,674.92 and 743.64 is: 1,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.08 : 2,674.92 = 743.64 : x
  2. Step 2: Convert to fraction form
    1,783.08/2,674.92 = 743.64/x
  3. Step 3: Cross multiply
    1,783.08x = 2,674.92 × 743.64
  4. Step 4: Simplify right side
    1,783.08x = 1,989,177.51
  5. Step 5: Solve for x
    x = 1,989,177.51/1,783.08
  6. Step 6: Final answer
    x = 1,115.59

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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.