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Finding the Fourth Proportional to 1,570.05, 2,166.69 and 861.96

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Solution

The fourth proportional to 1,570.05, 2,166.69 and 861.96 is: 1,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.05 : 2,166.69 = 861.96 : x
  2. Step 2: Convert to fraction form
    1,570.05/2,166.69 = 861.96/x
  3. Step 3: Cross multiply
    1,570.05x = 2,166.69 × 861.96
  4. Step 4: Simplify right side
    1,570.05x = 1,867,593.06
  5. Step 5: Solve for x
    x = 1,867,593.06/1,570.05
  6. Step 6: Final answer
    x = 1,189.51

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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.