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Finding the Fourth Proportional to 4,466.41, 6,699.92 and 1,505.18

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Solution

The fourth proportional to 4,466.41, 6,699.92 and 1,505.18 is: 2,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.41 : 6,699.92 = 1,505.18 : x
  2. Step 2: Convert to fraction form
    4,466.41/6,699.92 = 1,505.18/x
  3. Step 3: Cross multiply
    4,466.41x = 6,699.92 × 1,505.18
  4. Step 4: Simplify right side
    4,466.41x = 10,084,594.81
  5. Step 5: Solve for x
    x = 10,084,594.81/4,466.41
  6. Step 6: Final answer
    x = 2,257.88

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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.