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Finding the Fourth Proportional to 2,561.83, 3,535.65 and 1,774.51

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Solution

The fourth proportional to 2,561.83, 3,535.65 and 1,774.51 is: 2,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.83 : 3,535.65 = 1,774.51 : x
  2. Step 2: Convert to fraction form
    2,561.83/3,535.65 = 1,774.51/x
  3. Step 3: Cross multiply
    2,561.83x = 3,535.65 × 1,774.51
  4. Step 4: Simplify right side
    2,561.83x = 6,274,037.44
  5. Step 5: Solve for x
    x = 6,274,037.44/2,561.83
  6. Step 6: Final answer
    x = 2,449.05

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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.