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Finding the Fourth Proportional to 2,165.64, 3,252.60 and 1,345.44

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Solution

The fourth proportional to 2,165.64, 3,252.60 and 1,345.44 is: 2,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.64 : 3,252.60 = 1,345.44 : x
  2. Step 2: Convert to fraction form
    2,165.64/3,252.60 = 1,345.44/x
  3. Step 3: Cross multiply
    2,165.64x = 3,252.60 × 1,345.44
  4. Step 4: Simplify right side
    2,165.64x = 4,376,178.14
  5. Step 5: Solve for x
    x = 4,376,178.14/2,165.64
  6. Step 6: Final answer
    x = 2,020.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.