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Finding the Fourth Proportional to 1,959.88, 2,704.69 and 1,075.74

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Solution

The fourth proportional to 1,959.88, 2,704.69 and 1,075.74 is: 1,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.88 : 2,704.69 = 1,075.74 : x
  2. Step 2: Convert to fraction form
    1,959.88/2,704.69 = 1,075.74/x
  3. Step 3: Cross multiply
    1,959.88x = 2,704.69 × 1,075.74
  4. Step 4: Simplify right side
    1,959.88x = 2,909,543.22
  5. Step 5: Solve for x
    x = 2,909,543.22/1,959.88
  6. Step 6: Final answer
    x = 1,484.55

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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.