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Finding the Fourth Proportional to 2,334.76, 3,504.57 and 1,037.14

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Solution

The fourth proportional to 2,334.76, 3,504.57 and 1,037.14 is: 1,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.76 : 3,504.57 = 1,037.14 : x
  2. Step 2: Convert to fraction form
    2,334.76/3,504.57 = 1,037.14/x
  3. Step 3: Cross multiply
    2,334.76x = 3,504.57 × 1,037.14
  4. Step 4: Simplify right side
    2,334.76x = 3,634,729.73
  5. Step 5: Solve for x
    x = 3,634,729.73/2,334.76
  6. Step 6: Final answer
    x = 1,556.79

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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.