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Finding the Fourth Proportional to 1,785.94, 2,676.40 and 744.82

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Solution

The fourth proportional to 1,785.94, 2,676.40 and 744.82 is: 1,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.94 : 2,676.40 = 744.82 : x
  2. Step 2: Convert to fraction form
    1,785.94/2,676.40 = 744.82/x
  3. Step 3: Cross multiply
    1,785.94x = 2,676.40 × 744.82
  4. Step 4: Simplify right side
    1,785.94x = 1,993,436.25
  5. Step 5: Solve for x
    x = 1,993,436.25/1,785.94
  6. Step 6: Final answer
    x = 1,116.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.