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Finding the Fourth Proportional to 1,959.93, 2,704.70 and 1,075.71

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Solution

The fourth proportional to 1,959.93, 2,704.70 and 1,075.71 is: 1,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.93 : 2,704.70 = 1,075.71 : x
  2. Step 2: Convert to fraction form
    1,959.93/2,704.70 = 1,075.71/x
  3. Step 3: Cross multiply
    1,959.93x = 2,704.70 × 1,075.71
  4. Step 4: Simplify right side
    1,959.93x = 2,909,467.46
  5. Step 5: Solve for x
    x = 2,909,467.46/1,959.93
  6. Step 6: Final answer
    x = 1,484.48

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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.