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Finding the Fourth Proportional to 2,385.87, 3,294.36 and 1,642.29

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Solution

The fourth proportional to 2,385.87, 3,294.36 and 1,642.29 is: 2,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.87 : 3,294.36 = 1,642.29 : x
  2. Step 2: Convert to fraction form
    2,385.87/3,294.36 = 1,642.29/x
  3. Step 3: Cross multiply
    2,385.87x = 3,294.36 × 1,642.29
  4. Step 4: Simplify right side
    2,385.87x = 5,410,294.48
  5. Step 5: Solve for x
    x = 5,410,294.48/2,385.87
  6. Step 6: Final answer
    x = 2,267.64

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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.