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Finding the Fourth Proportional to 2,742.58, 3,784.98 and 1,694.98

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Solution

The fourth proportional to 2,742.58, 3,784.98 and 1,694.98 is: 2,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.58 : 3,784.98 = 1,694.98 : x
  2. Step 2: Convert to fraction form
    2,742.58/3,784.98 = 1,694.98/x
  3. Step 3: Cross multiply
    2,742.58x = 3,784.98 × 1,694.98
  4. Step 4: Simplify right side
    2,742.58x = 6,415,465.40
  5. Step 5: Solve for x
    x = 6,415,465.40/2,742.58
  6. Step 6: Final answer
    x = 2,339.21

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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.