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Finding the Fourth Proportional to 1,899.30, 2,849.92 and 925.38

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Solution

The fourth proportional to 1,899.30, 2,849.92 and 925.38 is: 1,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.30 : 2,849.92 = 925.38 : x
  2. Step 2: Convert to fraction form
    1,899.30/2,849.92 = 925.38/x
  3. Step 3: Cross multiply
    1,899.30x = 2,849.92 × 925.38
  4. Step 4: Simplify right side
    1,899.30x = 2,637,258.97
  5. Step 5: Solve for x
    x = 2,637,258.97/1,899.30
  6. Step 6: Final answer
    x = 1,388.54

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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.