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Finding the Fourth Proportional to 1,959.40, 2,703.93 and 1,075.20

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Solution

The fourth proportional to 1,959.40, 2,703.93 and 1,075.20 is: 1,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.40 : 2,703.93 = 1,075.20 : x
  2. Step 2: Convert to fraction form
    1,959.40/2,703.93 = 1,075.20/x
  3. Step 3: Cross multiply
    1,959.40x = 2,703.93 × 1,075.20
  4. Step 4: Simplify right side
    1,959.40x = 2,907,265.54
  5. Step 5: Solve for x
    x = 2,907,265.54/1,959.40
  6. Step 6: Final answer
    x = 1,483.75

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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.