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Finding the Fourth Proportional to 1,786.12, 2,464.83 and 1,040.51

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Solution

The fourth proportional to 1,786.12, 2,464.83 and 1,040.51 is: 1,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.12 : 2,464.83 = 1,040.51 : x
  2. Step 2: Convert to fraction form
    1,786.12/2,464.83 = 1,040.51/x
  3. Step 3: Cross multiply
    1,786.12x = 2,464.83 × 1,040.51
  4. Step 4: Simplify right side
    1,786.12x = 2,564,686.43
  5. Step 5: Solve for x
    x = 2,564,686.43/1,786.12
  6. Step 6: Final answer
    x = 1,435.90

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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.