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Finding the Fourth Proportional to 3,069.79, 4,236.16 and 1,743.46

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Solution

The fourth proportional to 3,069.79, 4,236.16 and 1,743.46 is: 2,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.79 : 4,236.16 = 1,743.46 : x
  2. Step 2: Convert to fraction form
    3,069.79/4,236.16 = 1,743.46/x
  3. Step 3: Cross multiply
    3,069.79x = 4,236.16 × 1,743.46
  4. Step 4: Simplify right side
    3,069.79x = 7,385,575.51
  5. Step 5: Solve for x
    x = 7,385,575.51/3,069.79
  6. Step 6: Final answer
    x = 2,405.89

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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.