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Finding the Fourth Proportional to 2,309.64, 3,464.40 and 578.26

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Solution

The fourth proportional to 2,309.64, 3,464.40 and 578.26 is: 867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.64 : 3,464.40 = 578.26 : x
  2. Step 2: Convert to fraction form
    2,309.64/3,464.40 = 578.26/x
  3. Step 3: Cross multiply
    2,309.64x = 3,464.40 × 578.26
  4. Step 4: Simplify right side
    2,309.64x = 2,003,323.94
  5. Step 5: Solve for x
    x = 2,003,323.94/2,309.64
  6. Step 6: Final answer
    x = 867.37

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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.