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Finding the Fourth Proportional to 2,482.82, 3,426.29 and 1,363.77

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Solution

The fourth proportional to 2,482.82, 3,426.29 and 1,363.77 is: 1,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.82 : 3,426.29 = 1,363.77 : x
  2. Step 2: Convert to fraction form
    2,482.82/3,426.29 = 1,363.77/x
  3. Step 3: Cross multiply
    2,482.82x = 3,426.29 × 1,363.77
  4. Step 4: Simplify right side
    2,482.82x = 4,672,664.69
  5. Step 5: Solve for x
    x = 4,672,664.69/2,482.82
  6. Step 6: Final answer
    x = 1,882.00

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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.