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Finding the Fourth Proportional to 1,215.38, 1,820.43 and 890

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Solution

The fourth proportional to 1,215.38, 1,820.43 and 890 is: 1,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.38 : 1,820.43 = 890 : x
  2. Step 2: Convert to fraction form
    1,215.38/1,820.43 = 890/x
  3. Step 3: Cross multiply
    1,215.38x = 1,820.43 × 890
  4. Step 4: Simplify right side
    1,215.38x = 1,620,182.70
  5. Step 5: Solve for x
    x = 1,620,182.70/1,215.38
  6. Step 6: Final answer
    x = 1,333.07

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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.