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Finding the Fourth Proportional to 4,663.26, 6,994.89 and 1,200.51

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Solution

The fourth proportional to 4,663.26, 6,994.89 and 1,200.51 is: 1,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.26 : 6,994.89 = 1,200.51 : x
  2. Step 2: Convert to fraction form
    4,663.26/6,994.89 = 1,200.51/x
  3. Step 3: Cross multiply
    4,663.26x = 6,994.89 × 1,200.51
  4. Step 4: Simplify right side
    4,663.26x = 8,397,435.39
  5. Step 5: Solve for x
    x = 8,397,435.39/4,663.26
  6. Step 6: Final answer
    x = 1,800.77

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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.