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Finding the Fourth Proportional to 4,206.94, 6,310.41 and 1,128.94

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Solution

The fourth proportional to 4,206.94, 6,310.41 and 1,128.94 is: 1,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.94 : 6,310.41 = 1,128.94 : x
  2. Step 2: Convert to fraction form
    4,206.94/6,310.41 = 1,128.94/x
  3. Step 3: Cross multiply
    4,206.94x = 6,310.41 × 1,128.94
  4. Step 4: Simplify right side
    4,206.94x = 7,124,054.26
  5. Step 5: Solve for x
    x = 7,124,054.26/4,206.94
  6. Step 6: Final answer
    x = 1,693.41

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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.