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Finding the Fourth Proportional to 1,951.79, 2,927.66 and 490.94

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Solution

The fourth proportional to 1,951.79, 2,927.66 and 490.94 is: 736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.79 : 2,927.66 = 490.94 : x
  2. Step 2: Convert to fraction form
    1,951.79/2,927.66 = 490.94/x
  3. Step 3: Cross multiply
    1,951.79x = 2,927.66 × 490.94
  4. Step 4: Simplify right side
    1,951.79x = 1,437,288.31
  5. Step 5: Solve for x
    x = 1,437,288.31/1,951.79
  6. Step 6: Final answer
    x = 736.40

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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.