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Finding the Fourth Proportional to 1,571.48, 2,167.44 and 1,309.04

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Solution

The fourth proportional to 1,571.48, 2,167.44 and 1,309.04 is: 1,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.48 : 2,167.44 = 1,309.04 : x
  2. Step 2: Convert to fraction form
    1,571.48/2,167.44 = 1,309.04/x
  3. Step 3: Cross multiply
    1,571.48x = 2,167.44 × 1,309.04
  4. Step 4: Simplify right side
    1,571.48x = 2,837,265.66
  5. Step 5: Solve for x
    x = 2,837,265.66/1,571.48
  6. Step 6: Final answer
    x = 1,805.47

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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.