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Finding the Fourth Proportional to 4,466.93, 6,700.66 and 1,505.13

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Solution

The fourth proportional to 4,466.93, 6,700.66 and 1,505.13 is: 2,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.93 : 6,700.66 = 1,505.13 : x
  2. Step 2: Convert to fraction form
    4,466.93/6,700.66 = 1,505.13/x
  3. Step 3: Cross multiply
    4,466.93x = 6,700.66 × 1,505.13
  4. Step 4: Simplify right side
    4,466.93x = 10,085,323.36
  5. Step 5: Solve for x
    x = 10,085,323.36/4,466.93
  6. Step 6: Final answer
    x = 2,257.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.