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Finding the Fourth Proportional to 2,304.57, 3,181.71 and 1,558.65

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Solution

The fourth proportional to 2,304.57, 3,181.71 and 1,558.65 is: 2,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.57 : 3,181.71 = 1,558.65 : x
  2. Step 2: Convert to fraction form
    2,304.57/3,181.71 = 1,558.65/x
  3. Step 3: Cross multiply
    2,304.57x = 3,181.71 × 1,558.65
  4. Step 4: Simplify right side
    2,304.57x = 4,959,164.50
  5. Step 5: Solve for x
    x = 4,959,164.50/2,304.57
  6. Step 6: Final answer
    x = 2,151.88

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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.