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Finding the Fourth Proportional to 2,178.64, 3,004.24 and 2,007.72

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Solution

The fourth proportional to 2,178.64, 3,004.24 and 2,007.72 is: 2,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.64 : 3,004.24 = 2,007.72 : x
  2. Step 2: Convert to fraction form
    2,178.64/3,004.24 = 2,007.72/x
  3. Step 3: Cross multiply
    2,178.64x = 3,004.24 × 2,007.72
  4. Step 4: Simplify right side
    2,178.64x = 6,031,672.73
  5. Step 5: Solve for x
    x = 6,031,672.73/2,178.64
  6. Step 6: Final answer
    x = 2,768.55

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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.