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Finding the Fourth Proportional to 1,572.21, 2,169.69 and 864.09

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Solution

The fourth proportional to 1,572.21, 2,169.69 and 864.09 is: 1,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.21 : 2,169.69 = 864.09 : x
  2. Step 2: Convert to fraction form
    1,572.21/2,169.69 = 864.09/x
  3. Step 3: Cross multiply
    1,572.21x = 2,169.69 × 864.09
  4. Step 4: Simplify right side
    1,572.21x = 1,874,807.43
  5. Step 5: Solve for x
    x = 1,874,807.43/1,572.21
  6. Step 6: Final answer
    x = 1,192.47

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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.