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Finding the Fourth Proportional to 2,304.44, 3,460.14 and 1,384.12

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Solution

The fourth proportional to 2,304.44, 3,460.14 and 1,384.12 is: 2,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.44 : 3,460.14 = 1,384.12 : x
  2. Step 2: Convert to fraction form
    2,304.44/3,460.14 = 1,384.12/x
  3. Step 3: Cross multiply
    2,304.44x = 3,460.14 × 1,384.12
  4. Step 4: Simplify right side
    2,304.44x = 4,789,248.98
  5. Step 5: Solve for x
    x = 4,789,248.98/2,304.44
  6. Step 6: Final answer
    x = 2,078.27

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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.