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Finding the Fourth Proportional to 2,564.96, 3,846.03 and 1,732.01

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Solution

The fourth proportional to 2,564.96, 3,846.03 and 1,732.01 is: 2,597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.96 : 3,846.03 = 1,732.01 : x
  2. Step 2: Convert to fraction form
    2,564.96/3,846.03 = 1,732.01/x
  3. Step 3: Cross multiply
    2,564.96x = 3,846.03 × 1,732.01
  4. Step 4: Simplify right side
    2,564.96x = 6,661,343.19
  5. Step 5: Solve for x
    x = 6,661,343.19/2,564.96
  6. Step 6: Final answer
    x = 2,597.06

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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.