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Finding the Fourth Proportional to 3,112.50, 4,296.05 and 1,786.93

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Solution

The fourth proportional to 3,112.50, 4,296.05 and 1,786.93 is: 2,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.50 : 4,296.05 = 1,786.93 : x
  2. Step 2: Convert to fraction form
    3,112.50/4,296.05 = 1,786.93/x
  3. Step 3: Cross multiply
    3,112.50x = 4,296.05 × 1,786.93
  4. Step 4: Simplify right side
    3,112.50x = 7,676,740.63
  5. Step 5: Solve for x
    x = 7,676,740.63/3,112.50
  6. Step 6: Final answer
    x = 2,466.42

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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.