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Finding the Fourth Proportional to 1,783.03, 2,676.97 and 1,003.58

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Solution

The fourth proportional to 1,783.03, 2,676.97 and 1,003.58 is: 1,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.03 : 2,676.97 = 1,003.58 : x
  2. Step 2: Convert to fraction form
    1,783.03/2,676.97 = 1,003.58/x
  3. Step 3: Cross multiply
    1,783.03x = 2,676.97 × 1,003.58
  4. Step 4: Simplify right side
    1,783.03x = 2,686,544.17
  5. Step 5: Solve for x
    x = 2,686,544.17/1,783.03
  6. Step 6: Final answer
    x = 1,506.73

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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.