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Finding the Fourth Proportional to 2,697.58, 4,047.35 and 942.84

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Solution

The fourth proportional to 2,697.58, 4,047.35 and 942.84 is: 1,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.58 : 4,047.35 = 942.84 : x
  2. Step 2: Convert to fraction form
    2,697.58/4,047.35 = 942.84/x
  3. Step 3: Cross multiply
    2,697.58x = 4,047.35 × 942.84
  4. Step 4: Simplify right side
    2,697.58x = 3,815,998.76
  5. Step 5: Solve for x
    x = 3,815,998.76/2,697.58
  6. Step 6: Final answer
    x = 1,414.60

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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.