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Finding the Fourth Proportional to 1,335.46, 1,840.74 and 1,040.22

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Solution

The fourth proportional to 1,335.46, 1,840.74 and 1,040.22 is: 1,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.46 : 1,840.74 = 1,040.22 : x
  2. Step 2: Convert to fraction form
    1,335.46/1,840.74 = 1,040.22/x
  3. Step 3: Cross multiply
    1,335.46x = 1,840.74 × 1,040.22
  4. Step 4: Simplify right side
    1,335.46x = 1,914,774.56
  5. Step 5: Solve for x
    x = 1,914,774.56/1,335.46
  6. Step 6: Final answer
    x = 1,433.79

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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.