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Finding the Fourth Proportional to 1,632.48, 2,256.24 and 1,571.04

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Solution

The fourth proportional to 1,632.48, 2,256.24 and 1,571.04 is: 2,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.48 : 2,256.24 = 1,571.04 : x
  2. Step 2: Convert to fraction form
    1,632.48/2,256.24 = 1,571.04/x
  3. Step 3: Cross multiply
    1,632.48x = 2,256.24 × 1,571.04
  4. Step 4: Simplify right side
    1,632.48x = 3,544,643.29
  5. Step 5: Solve for x
    x = 3,544,643.29/1,632.48
  6. Step 6: Final answer
    x = 2,171.32

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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.