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Finding the Fourth Proportional to 2,509.07, 3,462.17 and 1,389.73

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Solution

The fourth proportional to 2,509.07, 3,462.17 and 1,389.73 is: 1,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.07 : 3,462.17 = 1,389.73 : x
  2. Step 2: Convert to fraction form
    2,509.07/3,462.17 = 1,389.73/x
  3. Step 3: Cross multiply
    2,509.07x = 3,462.17 × 1,389.73
  4. Step 4: Simplify right side
    2,509.07x = 4,811,481.51
  5. Step 5: Solve for x
    x = 4,811,481.51/2,509.07
  6. Step 6: Final answer
    x = 1,917.64

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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.