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Finding the Fourth Proportional to 1,325.97, 1,824.53 and 1,115.37

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Solution

The fourth proportional to 1,325.97, 1,824.53 and 1,115.37 is: 1,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.97 : 1,824.53 = 1,115.37 : x
  2. Step 2: Convert to fraction form
    1,325.97/1,824.53 = 1,115.37/x
  3. Step 3: Cross multiply
    1,325.97x = 1,824.53 × 1,115.37
  4. Step 4: Simplify right side
    1,325.97x = 2,035,020.45
  5. Step 5: Solve for x
    x = 2,035,020.45/1,325.97
  6. Step 6: Final answer
    x = 1,534.74

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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.