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Finding the Fourth Proportional to 2,847.37, 4,266.44 and 2,259.19

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Solution

The fourth proportional to 2,847.37, 4,266.44 and 2,259.19 is: 3,385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.37 : 4,266.44 = 2,259.19 : x
  2. Step 2: Convert to fraction form
    2,847.37/4,266.44 = 2,259.19/x
  3. Step 3: Cross multiply
    2,847.37x = 4,266.44 × 2,259.19
  4. Step 4: Simplify right side
    2,847.37x = 9,638,699.51
  5. Step 5: Solve for x
    x = 9,638,699.51/2,847.37
  6. Step 6: Final answer
    x = 3,385.12

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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.