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Finding the Fourth Proportional to 1,946.65, 2,687.15 and 1,316.88

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Solution

The fourth proportional to 1,946.65, 2,687.15 and 1,316.88 is: 1,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.65 : 2,687.15 = 1,316.88 : x
  2. Step 2: Convert to fraction form
    1,946.65/2,687.15 = 1,316.88/x
  3. Step 3: Cross multiply
    1,946.65x = 2,687.15 × 1,316.88
  4. Step 4: Simplify right side
    1,946.65x = 3,538,654.09
  5. Step 5: Solve for x
    x = 3,538,654.09/1,946.65
  6. Step 6: Final answer
    x = 1,817.82

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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.