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Finding the Fourth Proportional to 1,776.98, 2,666.38 and 1,346.78

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Solution

The fourth proportional to 1,776.98, 2,666.38 and 1,346.78 is: 2,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.98 : 2,666.38 = 1,346.78 : x
  2. Step 2: Convert to fraction form
    1,776.98/2,666.38 = 1,346.78/x
  3. Step 3: Cross multiply
    1,776.98x = 2,666.38 × 1,346.78
  4. Step 4: Simplify right side
    1,776.98x = 3,591,027.26
  5. Step 5: Solve for x
    x = 3,591,027.26/1,776.98
  6. Step 6: Final answer
    x = 2,020.86

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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.