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Finding the Fourth Proportional to 2,642.85, 3,647.15 and 1,447.82

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Solution

The fourth proportional to 2,642.85, 3,647.15 and 1,447.82 is: 1,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.85 : 3,647.15 = 1,447.82 : x
  2. Step 2: Convert to fraction form
    2,642.85/3,647.15 = 1,447.82/x
  3. Step 3: Cross multiply
    2,642.85x = 3,647.15 × 1,447.82
  4. Step 4: Simplify right side
    2,642.85x = 5,280,416.71
  5. Step 5: Solve for x
    x = 5,280,416.71/2,642.85
  6. Step 6: Final answer
    x = 1,998.00

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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.