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Finding the Fourth Proportional to 1,739.68, 2,610.23 and 918.67

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Solution

The fourth proportional to 1,739.68, 2,610.23 and 918.67 is: 1,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.68 : 2,610.23 = 918.67 : x
  2. Step 2: Convert to fraction form
    1,739.68/2,610.23 = 918.67/x
  3. Step 3: Cross multiply
    1,739.68x = 2,610.23 × 918.67
  4. Step 4: Simplify right side
    1,739.68x = 2,397,939.99
  5. Step 5: Solve for x
    x = 2,397,939.99/1,739.68
  6. Step 6: Final answer
    x = 1,378.38

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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.