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Finding the Fourth Proportional to 7,002.98, 10,504.31 and 1,738.01

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Solution

The fourth proportional to 7,002.98, 10,504.31 and 1,738.01 is: 2,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.98 : 10,504.31 = 1,738.01 : x
  2. Step 2: Convert to fraction form
    7,002.98/10,504.31 = 1,738.01/x
  3. Step 3: Cross multiply
    7,002.98x = 10,504.31 × 1,738.01
  4. Step 4: Simplify right side
    7,002.98x = 18,256,559.20
  5. Step 5: Solve for x
    x = 18,256,559.20/7,002.98
  6. Step 6: Final answer
    x = 2,606.97

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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.