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Finding the Fourth Proportional to 2,144.51, 2,958.75 and 1,398.19

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Solution

The fourth proportional to 2,144.51, 2,958.75 and 1,398.19 is: 1,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.51 : 2,958.75 = 1,398.19 : x
  2. Step 2: Convert to fraction form
    2,144.51/2,958.75 = 1,398.19/x
  3. Step 3: Cross multiply
    2,144.51x = 2,958.75 × 1,398.19
  4. Step 4: Simplify right side
    2,144.51x = 4,136,887.27
  5. Step 5: Solve for x
    x = 4,136,887.27/2,144.51
  6. Step 6: Final answer
    x = 1,929.06

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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.