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Finding the Fourth Proportional to 2,466.96, 3,695.56 and 1,426.31

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Solution

The fourth proportional to 2,466.96, 3,695.56 and 1,426.31 is: 2,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.96 : 3,695.56 = 1,426.31 : x
  2. Step 2: Convert to fraction form
    2,466.96/3,695.56 = 1,426.31/x
  3. Step 3: Cross multiply
    2,466.96x = 3,695.56 × 1,426.31
  4. Step 4: Simplify right side
    2,466.96x = 5,271,006.00
  5. Step 5: Solve for x
    x = 5,271,006.00/2,466.96
  6. Step 6: Final answer
    x = 2,136.64

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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.