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Finding the Fourth Proportional to 2,172.56, 3,254.52 and 1,864.40

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Solution

The fourth proportional to 2,172.56, 3,254.52 and 1,864.40 is: 2,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.56 : 3,254.52 = 1,864.40 : x
  2. Step 2: Convert to fraction form
    2,172.56/3,254.52 = 1,864.40/x
  3. Step 3: Cross multiply
    2,172.56x = 3,254.52 × 1,864.40
  4. Step 4: Simplify right side
    2,172.56x = 6,067,727.09
  5. Step 5: Solve for x
    x = 6,067,727.09/2,172.56
  6. Step 6: Final answer
    x = 2,792.89

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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.