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Finding the Fourth Proportional to 1,783.74, 2,676.08 and 743.40

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Solution

The fourth proportional to 1,783.74, 2,676.08 and 743.40 is: 1,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.74 : 2,676.08 = 743.40 : x
  2. Step 2: Convert to fraction form
    1,783.74/2,676.08 = 743.40/x
  3. Step 3: Cross multiply
    1,783.74x = 2,676.08 × 743.40
  4. Step 4: Simplify right side
    1,783.74x = 1,989,394.16
  5. Step 5: Solve for x
    x = 1,989,394.16/1,783.74
  6. Step 6: Final answer
    x = 1,115.29

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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.