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Finding the Fourth Proportional to 2,092.22, 2,890.65 and 1,780.77

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Solution

The fourth proportional to 2,092.22, 2,890.65 and 1,780.77 is: 2,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.22 : 2,890.65 = 1,780.77 : x
  2. Step 2: Convert to fraction form
    2,092.22/2,890.65 = 1,780.77/x
  3. Step 3: Cross multiply
    2,092.22x = 2,890.65 × 1,780.77
  4. Step 4: Simplify right side
    2,092.22x = 5,147,582.80
  5. Step 5: Solve for x
    x = 5,147,582.80/2,092.22
  6. Step 6: Final answer
    x = 2,460.34

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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.