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Finding the Fourth Proportional to 1,959.53, 2,704.32 and 1,075.51

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Solution

The fourth proportional to 1,959.53, 2,704.32 and 1,075.51 is: 1,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.53 : 2,704.32 = 1,075.51 : x
  2. Step 2: Convert to fraction form
    1,959.53/2,704.32 = 1,075.51/x
  3. Step 3: Cross multiply
    1,959.53x = 2,704.32 × 1,075.51
  4. Step 4: Simplify right side
    1,959.53x = 2,908,523.20
  5. Step 5: Solve for x
    x = 2,908,523.20/1,959.53
  6. Step 6: Final answer
    x = 1,484.30

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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.