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Finding the Fourth Proportional to 1,905.09, 2,857.70 and 655.67

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Solution

The fourth proportional to 1,905.09, 2,857.70 and 655.67 is: 983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.09 : 2,857.70 = 655.67 : x
  2. Step 2: Convert to fraction form
    1,905.09/2,857.70 = 655.67/x
  3. Step 3: Cross multiply
    1,905.09x = 2,857.70 × 655.67
  4. Step 4: Simplify right side
    1,905.09x = 1,873,704.88
  5. Step 5: Solve for x
    x = 1,873,704.88/1,905.09
  6. Step 6: Final answer
    x = 983.53

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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.