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Finding the Fourth Proportional to 3,112.70, 4,295.68 and 2,064.02

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Solution

The fourth proportional to 3,112.70, 4,295.68 and 2,064.02 is: 2,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.70 : 4,295.68 = 2,064.02 : x
  2. Step 2: Convert to fraction form
    3,112.70/4,295.68 = 2,064.02/x
  3. Step 3: Cross multiply
    3,112.70x = 4,295.68 × 2,064.02
  4. Step 4: Simplify right side
    3,112.70x = 8,866,369.43
  5. Step 5: Solve for x
    x = 8,866,369.43/3,112.70
  6. Step 6: Final answer
    x = 2,848.45

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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.