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Finding the Fourth Proportional to 2,144.58, 2,959.44 and 1,213.08

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Solution

The fourth proportional to 2,144.58, 2,959.44 and 1,213.08 is: 1,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.58 : 2,959.44 = 1,213.08 : x
  2. Step 2: Convert to fraction form
    2,144.58/2,959.44 = 1,213.08/x
  3. Step 3: Cross multiply
    2,144.58x = 2,959.44 × 1,213.08
  4. Step 4: Simplify right side
    2,144.58x = 3,590,037.48
  5. Step 5: Solve for x
    x = 3,590,037.48/2,144.58
  6. Step 6: Final answer
    x = 1,674.00

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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.