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Finding the Fourth Proportional to 1,959.96, 2,924.79 and 1,741.80

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Solution

The fourth proportional to 1,959.96, 2,924.79 and 1,741.80 is: 2,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.96 : 2,924.79 = 1,741.80 : x
  2. Step 2: Convert to fraction form
    1,959.96/2,924.79 = 1,741.80/x
  3. Step 3: Cross multiply
    1,959.96x = 2,924.79 × 1,741.80
  4. Step 4: Simplify right side
    1,959.96x = 5,094,399.22
  5. Step 5: Solve for x
    x = 5,094,399.22/1,959.96
  6. Step 6: Final answer
    x = 2,599.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.