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Finding the Fourth Proportional to 1,420.88, 2,134.92 and 1,363.28

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Solution

The fourth proportional to 1,420.88, 2,134.92 and 1,363.28 is: 2,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.88 : 2,134.92 = 1,363.28 : x
  2. Step 2: Convert to fraction form
    1,420.88/2,134.92 = 1,363.28/x
  3. Step 3: Cross multiply
    1,420.88x = 2,134.92 × 1,363.28
  4. Step 4: Simplify right side
    1,420.88x = 2,910,493.74
  5. Step 5: Solve for x
    x = 2,910,493.74/1,420.88
  6. Step 6: Final answer
    x = 2,048.37

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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.