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Finding the Fourth Proportional to 1,959.42, 2,704.03 and 1,075.21

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Solution

The fourth proportional to 1,959.42, 2,704.03 and 1,075.21 is: 1,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.42 : 2,704.03 = 1,075.21 : x
  2. Step 2: Convert to fraction form
    1,959.42/2,704.03 = 1,075.21/x
  3. Step 3: Cross multiply
    1,959.42x = 2,704.03 × 1,075.21
  4. Step 4: Simplify right side
    1,959.42x = 2,907,400.10
  5. Step 5: Solve for x
    x = 2,907,400.10/1,959.42
  6. Step 6: Final answer
    x = 1,483.81

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Why These Related Problems?

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