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Finding the Fourth Proportional to 2,285.82, 3,154.50 and 1,401.46

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Solution

The fourth proportional to 2,285.82, 3,154.50 and 1,401.46 is: 1,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.82 : 3,154.50 = 1,401.46 : x
  2. Step 2: Convert to fraction form
    2,285.82/3,154.50 = 1,401.46/x
  3. Step 3: Cross multiply
    2,285.82x = 3,154.50 × 1,401.46
  4. Step 4: Simplify right side
    2,285.82x = 4,420,905.57
  5. Step 5: Solve for x
    x = 4,420,905.57/2,285.82
  6. Step 6: Final answer
    x = 1,934.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.