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Finding the Fourth Proportional to 1,732.67, 2,389.73 and 1,533.71

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Solution

The fourth proportional to 1,732.67, 2,389.73 and 1,533.71 is: 2,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.67 : 2,389.73 = 1,533.71 : x
  2. Step 2: Convert to fraction form
    1,732.67/2,389.73 = 1,533.71/x
  3. Step 3: Cross multiply
    1,732.67x = 2,389.73 × 1,533.71
  4. Step 4: Simplify right side
    1,732.67x = 3,665,145.13
  5. Step 5: Solve for x
    x = 3,665,145.13/1,732.67
  6. Step 6: Final answer
    x = 2,115.32

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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.