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Finding the Fourth Proportional to 1,677.27, 2,511.24 and 853.77

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Solution

The fourth proportional to 1,677.27, 2,511.24 and 853.77 is: 1,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.27 : 2,511.24 = 853.77 : x
  2. Step 2: Convert to fraction form
    1,677.27/2,511.24 = 853.77/x
  3. Step 3: Cross multiply
    1,677.27x = 2,511.24 × 853.77
  4. Step 4: Simplify right side
    1,677.27x = 2,144,021.37
  5. Step 5: Solve for x
    x = 2,144,021.37/1,677.27
  6. Step 6: Final answer
    x = 1,278.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.