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Finding the Fourth Proportional to 1,757.82, 2,431.11 and 1,570.98

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Solution

The fourth proportional to 1,757.82, 2,431.11 and 1,570.98 is: 2,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.82 : 2,431.11 = 1,570.98 : x
  2. Step 2: Convert to fraction form
    1,757.82/2,431.11 = 1,570.98/x
  3. Step 3: Cross multiply
    1,757.82x = 2,431.11 × 1,570.98
  4. Step 4: Simplify right side
    1,757.82x = 3,819,225.19
  5. Step 5: Solve for x
    x = 3,819,225.19/1,757.82
  6. Step 6: Final answer
    x = 2,172.71

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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.