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Finding the Fourth Proportional to 2,064.50, 2,846.76 and 1,466.84

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Solution

The fourth proportional to 2,064.50, 2,846.76 and 1,466.84 is: 2,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.50 : 2,846.76 = 1,466.84 : x
  2. Step 2: Convert to fraction form
    2,064.50/2,846.76 = 1,466.84/x
  3. Step 3: Cross multiply
    2,064.50x = 2,846.76 × 1,466.84
  4. Step 4: Simplify right side
    2,064.50x = 4,175,727.20
  5. Step 5: Solve for x
    x = 4,175,727.20/2,064.50
  6. Step 6: Final answer
    x = 2,022.64

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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.