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Finding the Fourth Proportional to 1,324.94, 1,824.26 and 1,125.35

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Solution

The fourth proportional to 1,324.94, 1,824.26 and 1,125.35 is: 1,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.94 : 1,824.26 = 1,125.35 : x
  2. Step 2: Convert to fraction form
    1,324.94/1,824.26 = 1,125.35/x
  3. Step 3: Cross multiply
    1,324.94x = 1,824.26 × 1,125.35
  4. Step 4: Simplify right side
    1,324.94x = 2,052,923.08
  5. Step 5: Solve for x
    x = 2,052,923.08/1,324.94
  6. Step 6: Final answer
    x = 1,549.45

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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.