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Finding the Fourth Proportional to 1,786.85, 2,464.83 and 1,040.72

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Solution

The fourth proportional to 1,786.85, 2,464.83 and 1,040.72 is: 1,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.85 : 2,464.83 = 1,040.72 : x
  2. Step 2: Convert to fraction form
    1,786.85/2,464.83 = 1,040.72/x
  3. Step 3: Cross multiply
    1,786.85x = 2,464.83 × 1,040.72
  4. Step 4: Simplify right side
    1,786.85x = 2,565,185.55
  5. Step 5: Solve for x
    x = 2,565,185.55/1,786.85
  6. Step 6: Final answer
    x = 1,435.59

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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.