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Finding the Fourth Proportional to 2,035.96, 3,054.48 and 719.44

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Solution

The fourth proportional to 2,035.96, 3,054.48 and 719.44 is: 1,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.96 : 3,054.48 = 719.44 : x
  2. Step 2: Convert to fraction form
    2,035.96/3,054.48 = 719.44/x
  3. Step 3: Cross multiply
    2,035.96x = 3,054.48 × 719.44
  4. Step 4: Simplify right side
    2,035.96x = 2,197,515.09
  5. Step 5: Solve for x
    x = 2,197,515.09/2,035.96
  6. Step 6: Final answer
    x = 1,079.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.