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Finding the Fourth Proportional to 1,575.25, 2,173.07 and 945.48

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Solution

The fourth proportional to 1,575.25, 2,173.07 and 945.48 is: 1,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.25 : 2,173.07 = 945.48 : x
  2. Step 2: Convert to fraction form
    1,575.25/2,173.07 = 945.48/x
  3. Step 3: Cross multiply
    1,575.25x = 2,173.07 × 945.48
  4. Step 4: Simplify right side
    1,575.25x = 2,054,588.44
  5. Step 5: Solve for x
    x = 2,054,588.44/1,575.25
  6. Step 6: Final answer
    x = 1,304.29

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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.