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Finding the Fourth Proportional to 2,264.89, 3,122.65 and 1,466.80

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Solution

The fourth proportional to 2,264.89, 3,122.65 and 1,466.80 is: 2,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.89 : 3,122.65 = 1,466.80 : x
  2. Step 2: Convert to fraction form
    2,264.89/3,122.65 = 1,466.80/x
  3. Step 3: Cross multiply
    2,264.89x = 3,122.65 × 1,466.80
  4. Step 4: Simplify right side
    2,264.89x = 4,580,318.74
  5. Step 5: Solve for x
    x = 4,580,318.74/2,264.89
  6. Step 6: Final answer
    x = 2,022.31

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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.