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Finding the Fourth Proportional to 1,684.77, 2,325.65 and 1,447.77

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Solution

The fourth proportional to 1,684.77, 2,325.65 and 1,447.77 is: 1,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.77 : 2,325.65 = 1,447.77 : x
  2. Step 2: Convert to fraction form
    1,684.77/2,325.65 = 1,447.77/x
  3. Step 3: Cross multiply
    1,684.77x = 2,325.65 × 1,447.77
  4. Step 4: Simplify right side
    1,684.77x = 3,367,007.78
  5. Step 5: Solve for x
    x = 3,367,007.78/1,684.77
  6. Step 6: Final answer
    x = 1,998.50

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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.