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Finding the Fourth Proportional to 1,826.45, 2,520.50 and 1,040.49

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Solution

The fourth proportional to 1,826.45, 2,520.50 and 1,040.49 is: 1,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.45 : 2,520.50 = 1,040.49 : x
  2. Step 2: Convert to fraction form
    1,826.45/2,520.50 = 1,040.49/x
  3. Step 3: Cross multiply
    1,826.45x = 2,520.50 × 1,040.49
  4. Step 4: Simplify right side
    1,826.45x = 2,622,549.84
  5. Step 5: Solve for x
    x = 2,622,549.84/1,826.45
  6. Step 6: Final answer
    x = 1,435.88

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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.