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Finding the Fourth Proportional to 4,466.79, 6,700.31 and 1,346.81

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Solution

The fourth proportional to 4,466.79, 6,700.31 and 1,346.81 is: 2,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.79 : 6,700.31 = 1,346.81 : x
  2. Step 2: Convert to fraction form
    4,466.79/6,700.31 = 1,346.81/x
  3. Step 3: Cross multiply
    4,466.79x = 6,700.31 × 1,346.81
  4. Step 4: Simplify right side
    4,466.79x = 9,024,004.28
  5. Step 5: Solve for x
    x = 9,024,004.28/4,466.79
  6. Step 6: Final answer
    x = 2,020.24

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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.