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Finding the Fourth Proportional to 3,109.53, 4,291.02 and 1,782.32

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Solution

The fourth proportional to 3,109.53, 4,291.02 and 1,782.32 is: 2,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.53 : 4,291.02 = 1,782.32 : x
  2. Step 2: Convert to fraction form
    3,109.53/4,291.02 = 1,782.32/x
  3. Step 3: Cross multiply
    3,109.53x = 4,291.02 × 1,782.32
  4. Step 4: Simplify right side
    3,109.53x = 7,647,949.31
  5. Step 5: Solve for x
    x = 7,647,949.31/3,109.53
  6. Step 6: Final answer
    x = 2,459.52

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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.