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Finding the Fourth Proportional to 1,903.24, 2,626.26 and 1,075.24

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Solution

The fourth proportional to 1,903.24, 2,626.26 and 1,075.24 is: 1,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.24 : 2,626.26 = 1,075.24 : x
  2. Step 2: Convert to fraction form
    1,903.24/2,626.26 = 1,075.24/x
  3. Step 3: Cross multiply
    1,903.24x = 2,626.26 × 1,075.24
  4. Step 4: Simplify right side
    1,903.24x = 2,823,859.80
  5. Step 5: Solve for x
    x = 2,823,859.80/1,903.24
  6. Step 6: Final answer
    x = 1,483.71

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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.