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Finding the Fourth Proportional to 1,959.09, 2,703.47 and 1,172.67

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Solution

The fourth proportional to 1,959.09, 2,703.47 and 1,172.67 is: 1,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.09 : 2,703.47 = 1,172.67 : x
  2. Step 2: Convert to fraction form
    1,959.09/2,703.47 = 1,172.67/x
  3. Step 3: Cross multiply
    1,959.09x = 2,703.47 × 1,172.67
  4. Step 4: Simplify right side
    1,959.09x = 3,170,278.16
  5. Step 5: Solve for x
    x = 3,170,278.16/1,959.09
  6. Step 6: Final answer
    x = 1,618.24

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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.