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Finding the Fourth Proportional to 1,959.56, 2,704.23 and 1,075.43

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Solution

The fourth proportional to 1,959.56, 2,704.23 and 1,075.43 is: 1,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.56 : 2,704.23 = 1,075.43 : x
  2. Step 2: Convert to fraction form
    1,959.56/2,704.23 = 1,075.43/x
  3. Step 3: Cross multiply
    1,959.56x = 2,704.23 × 1,075.43
  4. Step 4: Simplify right side
    1,959.56x = 2,908,210.07
  5. Step 5: Solve for x
    x = 2,908,210.07/1,959.56
  6. Step 6: Final answer
    x = 1,484.11

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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.