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Finding the Fourth Proportional to 2,846.61, 4,267.14 and 1,090.26

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Solution

The fourth proportional to 2,846.61, 4,267.14 and 1,090.26 is: 1,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.61 : 4,267.14 = 1,090.26 : x
  2. Step 2: Convert to fraction form
    2,846.61/4,267.14 = 1,090.26/x
  3. Step 3: Cross multiply
    2,846.61x = 4,267.14 × 1,090.26
  4. Step 4: Simplify right side
    2,846.61x = 4,652,292.06
  5. Step 5: Solve for x
    x = 4,652,292.06/2,846.61
  6. Step 6: Final answer
    x = 1,634.33

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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.