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Finding the Fourth Proportional to 2,709.40, 4,064.10 and 2,458.30

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Solution

The fourth proportional to 2,709.40, 4,064.10 and 2,458.30 is: 3,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.40 : 4,064.10 = 2,458.30 : x
  2. Step 2: Convert to fraction form
    2,709.40/4,064.10 = 2,458.30/x
  3. Step 3: Cross multiply
    2,709.40x = 4,064.10 × 2,458.30
  4. Step 4: Simplify right side
    2,709.40x = 9,990,777.03
  5. Step 5: Solve for x
    x = 9,990,777.03/2,709.40
  6. Step 6: Final answer
    x = 3,687.45

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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.