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Finding the Fourth Proportional to 1,739.05, 2,399.86 and 953.09

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Solution

The fourth proportional to 1,739.05, 2,399.86 and 953.09 is: 1,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.05 : 2,399.86 = 953.09 : x
  2. Step 2: Convert to fraction form
    1,739.05/2,399.86 = 953.09/x
  3. Step 3: Cross multiply
    1,739.05x = 2,399.86 × 953.09
  4. Step 4: Simplify right side
    1,739.05x = 2,287,282.57
  5. Step 5: Solve for x
    x = 2,287,282.57/1,739.05
  6. Step 6: Final answer
    x = 1,315.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.