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Finding the Fourth Proportional to 1,959.70, 2,704.43 and 1,075.57

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Solution

The fourth proportional to 1,959.70, 2,704.43 and 1,075.57 is: 1,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.70 : 2,704.43 = 1,075.57 : x
  2. Step 2: Convert to fraction form
    1,959.70/2,704.43 = 1,075.57/x
  3. Step 3: Cross multiply
    1,959.70x = 2,704.43 × 1,075.57
  4. Step 4: Simplify right side
    1,959.70x = 2,908,803.78
  5. Step 5: Solve for x
    x = 2,908,803.78/1,959.70
  6. Step 6: Final answer
    x = 1,484.31

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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.