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Finding the Fourth Proportional to 2,690.34, 4,030.96 and 1,304.34

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Solution

The fourth proportional to 2,690.34, 4,030.96 and 1,304.34 is: 1,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.34 : 4,030.96 = 1,304.34 : x
  2. Step 2: Convert to fraction form
    2,690.34/4,030.96 = 1,304.34/x
  3. Step 3: Cross multiply
    2,690.34x = 4,030.96 × 1,304.34
  4. Step 4: Simplify right side
    2,690.34x = 5,257,742.37
  5. Step 5: Solve for x
    x = 5,257,742.37/2,690.34
  6. Step 6: Final answer
    x = 1,954.30

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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.