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Finding the Fourth Proportional to 1,938.91, 2,906.73 and 899.65

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Solution

The fourth proportional to 1,938.91, 2,906.73 and 899.65 is: 1,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.91 : 2,906.73 = 899.65 : x
  2. Step 2: Convert to fraction form
    1,938.91/2,906.73 = 899.65/x
  3. Step 3: Cross multiply
    1,938.91x = 2,906.73 × 899.65
  4. Step 4: Simplify right side
    1,938.91x = 2,615,032.38
  5. Step 5: Solve for x
    x = 2,615,032.38/1,938.91
  6. Step 6: Final answer
    x = 1,348.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.