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Finding the Fourth Proportional to 1,826.74, 2,520.94 and 1,040.77

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Solution

The fourth proportional to 1,826.74, 2,520.94 and 1,040.77 is: 1,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.74 : 2,520.94 = 1,040.77 : x
  2. Step 2: Convert to fraction form
    1,826.74/2,520.94 = 1,040.77/x
  3. Step 3: Cross multiply
    1,826.74x = 2,520.94 × 1,040.77
  4. Step 4: Simplify right side
    1,826.74x = 2,623,706.12
  5. Step 5: Solve for x
    x = 2,623,706.12/1,826.74
  6. Step 6: Final answer
    x = 1,436.28

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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.