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Finding the Fourth Proportional to 1,866.21, 2,785.44 and 1,647.51

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Solution

The fourth proportional to 1,866.21, 2,785.44 and 1,647.51 is: 2,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.21 : 2,785.44 = 1,647.51 : x
  2. Step 2: Convert to fraction form
    1,866.21/2,785.44 = 1,647.51/x
  3. Step 3: Cross multiply
    1,866.21x = 2,785.44 × 1,647.51
  4. Step 4: Simplify right side
    1,866.21x = 4,589,040.25
  5. Step 5: Solve for x
    x = 4,589,040.25/1,866.21
  6. Step 6: Final answer
    x = 2,459.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.