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Finding the Fourth Proportional to 1,959.48, 2,703.06 and 1,213.20

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Solution

The fourth proportional to 1,959.48, 2,703.06 and 1,213.20 is: 1,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.48 : 2,703.06 = 1,213.20 : x
  2. Step 2: Convert to fraction form
    1,959.48/2,703.06 = 1,213.20/x
  3. Step 3: Cross multiply
    1,959.48x = 2,703.06 × 1,213.20
  4. Step 4: Simplify right side
    1,959.48x = 3,279,352.39
  5. Step 5: Solve for x
    x = 3,279,352.39/1,959.48
  6. Step 6: Final answer
    x = 1,673.58

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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.