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Finding the Fourth Proportional to 1,959.98, 2,704.68 and 1,075.76

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Solution

The fourth proportional to 1,959.98, 2,704.68 and 1,075.76 is: 1,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.98 : 2,704.68 = 1,075.76 : x
  2. Step 2: Convert to fraction form
    1,959.98/2,704.68 = 1,075.76/x
  3. Step 3: Cross multiply
    1,959.98x = 2,704.68 × 1,075.76
  4. Step 4: Simplify right side
    1,959.98x = 2,909,586.56
  5. Step 5: Solve for x
    x = 2,909,586.56/1,959.98
  6. Step 6: Final answer
    x = 1,484.50

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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.