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Finding the Fourth Proportional to 1,525.22, 2,105.82 and 958.29

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Solution

The fourth proportional to 1,525.22, 2,105.82 and 958.29 is: 1,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.22 : 2,105.82 = 958.29 : x
  2. Step 2: Convert to fraction form
    1,525.22/2,105.82 = 958.29/x
  3. Step 3: Cross multiply
    1,525.22x = 2,105.82 × 958.29
  4. Step 4: Simplify right side
    1,525.22x = 2,017,986.25
  5. Step 5: Solve for x
    x = 2,017,986.25/1,525.22
  6. Step 6: Final answer
    x = 1,323.08

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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.