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Finding the Fourth Proportional to 2,563.83, 3,538.41 and 1,776.51

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Solution

The fourth proportional to 2,563.83, 3,538.41 and 1,776.51 is: 2,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.83 : 3,538.41 = 1,776.51 : x
  2. Step 2: Convert to fraction form
    2,563.83/3,538.41 = 1,776.51/x
  3. Step 3: Cross multiply
    2,563.83x = 3,538.41 × 1,776.51
  4. Step 4: Simplify right side
    2,563.83x = 6,286,020.75
  5. Step 5: Solve for x
    x = 6,286,020.75/2,563.83
  6. Step 6: Final answer
    x = 2,451.81

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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.