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Finding the Fourth Proportional to 1,972.72, 2,723.17 and 1,345.32

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Solution

The fourth proportional to 1,972.72, 2,723.17 and 1,345.32 is: 1,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.72 : 2,723.17 = 1,345.32 : x
  2. Step 2: Convert to fraction form
    1,972.72/2,723.17 = 1,345.32/x
  3. Step 3: Cross multiply
    1,972.72x = 2,723.17 × 1,345.32
  4. Step 4: Simplify right side
    1,972.72x = 3,663,535.06
  5. Step 5: Solve for x
    x = 3,663,535.06/1,972.72
  6. Step 6: Final answer
    x = 1,857.10

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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.