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Finding the Fourth Proportional to 2,742.59, 3,784.73 and 1,563.68

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Solution

The fourth proportional to 2,742.59, 3,784.73 and 1,563.68 is: 2,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.59 : 3,784.73 = 1,563.68 : x
  2. Step 2: Convert to fraction form
    2,742.59/3,784.73 = 1,563.68/x
  3. Step 3: Cross multiply
    2,742.59x = 3,784.73 × 1,563.68
  4. Step 4: Simplify right side
    2,742.59x = 5,918,106.61
  5. Step 5: Solve for x
    x = 5,918,106.61/2,742.59
  6. Step 6: Final answer
    x = 2,157.85

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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.