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Finding the Fourth Proportional to 1,926.10, 2,886.72 and 951.94

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Solution

The fourth proportional to 1,926.10, 2,886.72 and 951.94 is: 1,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.10 : 2,886.72 = 951.94 : x
  2. Step 2: Convert to fraction form
    1,926.10/2,886.72 = 951.94/x
  3. Step 3: Cross multiply
    1,926.10x = 2,886.72 × 951.94
  4. Step 4: Simplify right side
    1,926.10x = 2,747,984.24
  5. Step 5: Solve for x
    x = 2,747,984.24/1,926.10
  6. Step 6: Final answer
    x = 1,426.71

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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.