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Finding the Fourth Proportional to 2,351.57, 3,245.79 and 1,466.84

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Solution

The fourth proportional to 2,351.57, 3,245.79 and 1,466.84 is: 2,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.57 : 3,245.79 = 1,466.84 : x
  2. Step 2: Convert to fraction form
    2,351.57/3,245.79 = 1,466.84/x
  3. Step 3: Cross multiply
    2,351.57x = 3,245.79 × 1,466.84
  4. Step 4: Simplify right side
    2,351.57x = 4,761,038.37
  5. Step 5: Solve for x
    x = 4,761,038.37/2,351.57
  6. Step 6: Final answer
    x = 2,024.63

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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.