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Finding the Fourth Proportional to 3,186.98, 4,782.63 and 1,238.93

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Solution

The fourth proportional to 3,186.98, 4,782.63 and 1,238.93 is: 1,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.98 : 4,782.63 = 1,238.93 : x
  2. Step 2: Convert to fraction form
    3,186.98/4,782.63 = 1,238.93/x
  3. Step 3: Cross multiply
    3,186.98x = 4,782.63 × 1,238.93
  4. Step 4: Simplify right side
    3,186.98x = 5,925,343.79
  5. Step 5: Solve for x
    x = 5,925,343.79/3,186.98
  6. Step 6: Final answer
    x = 1,859.23

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