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Finding the Fourth Proportional to 1,959.19, 2,703.68 and 1,075.05

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Solution

The fourth proportional to 1,959.19, 2,703.68 and 1,075.05 is: 1,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.19 : 2,703.68 = 1,075.05 : x
  2. Step 2: Convert to fraction form
    1,959.19/2,703.68 = 1,075.05/x
  3. Step 3: Cross multiply
    1,959.19x = 2,703.68 × 1,075.05
  4. Step 4: Simplify right side
    1,959.19x = 2,906,582.24
  5. Step 5: Solve for x
    x = 2,906,582.24/1,959.19
  6. Step 6: Final answer
    x = 1,483.57

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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.