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Finding the Fourth Proportional to 2,004.78, 2,767.05 and 1,219.35

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Solution

The fourth proportional to 2,004.78, 2,767.05 and 1,219.35 is: 1,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.78 : 2,767.05 = 1,219.35 : x
  2. Step 2: Convert to fraction form
    2,004.78/2,767.05 = 1,219.35/x
  3. Step 3: Cross multiply
    2,004.78x = 2,767.05 × 1,219.35
  4. Step 4: Simplify right side
    2,004.78x = 3,374,002.42
  5. Step 5: Solve for x
    x = 3,374,002.42/2,004.78
  6. Step 6: Final answer
    x = 1,682.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.