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Finding the Fourth Proportional to 2,304.29, 3,184.08 and 1,639.98

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Solution

The fourth proportional to 2,304.29, 3,184.08 and 1,639.98 is: 2,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.29 : 3,184.08 = 1,639.98 : x
  2. Step 2: Convert to fraction form
    2,304.29/3,184.08 = 1,639.98/x
  3. Step 3: Cross multiply
    2,304.29x = 3,184.08 × 1,639.98
  4. Step 4: Simplify right side
    2,304.29x = 5,221,848.64
  5. Step 5: Solve for x
    x = 5,221,848.64/2,304.29
  6. Step 6: Final answer
    x = 2,266.15

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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.