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Finding the Fourth Proportional to 1,950.23, 2,923.65 and 717.37

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Solution

The fourth proportional to 1,950.23, 2,923.65 and 717.37 is: 1,075.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.23 : 2,923.65 = 717.37 : x
  2. Step 2: Convert to fraction form
    1,950.23/2,923.65 = 717.37/x
  3. Step 3: Cross multiply
    1,950.23x = 2,923.65 × 717.37
  4. Step 4: Simplify right side
    1,950.23x = 2,097,331.49
  5. Step 5: Solve for x
    x = 2,097,331.49/1,950.23
  6. Step 6: Final answer
    x = 1,075.43

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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.