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Finding the Fourth Proportional to 1,864.66, 2,571.18 and 1,466.37

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Solution

The fourth proportional to 1,864.66, 2,571.18 and 1,466.37 is: 2,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.66 : 2,571.18 = 1,466.37 : x
  2. Step 2: Convert to fraction form
    1,864.66/2,571.18 = 1,466.37/x
  3. Step 3: Cross multiply
    1,864.66x = 2,571.18 × 1,466.37
  4. Step 4: Simplify right side
    1,864.66x = 3,770,301.22
  5. Step 5: Solve for x
    x = 3,770,301.22/1,864.66
  6. Step 6: Final answer
    x = 2,021.98

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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.