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Finding the Fourth Proportional to 2,604.64, 3,592.20 and 2,345.44

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Solution

The fourth proportional to 2,604.64, 3,592.20 and 2,345.44 is: 3,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.64 : 3,592.20 = 2,345.44 : x
  2. Step 2: Convert to fraction form
    2,604.64/3,592.20 = 2,345.44/x
  3. Step 3: Cross multiply
    2,604.64x = 3,592.20 × 2,345.44
  4. Step 4: Simplify right side
    2,604.64x = 8,425,289.57
  5. Step 5: Solve for x
    x = 8,425,289.57/2,604.64
  6. Step 6: Final answer
    x = 3,234.72

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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.