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Finding the Fourth Proportional to 1,570.37, 2,166.62 and 949.37

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Solution

The fourth proportional to 1,570.37, 2,166.62 and 949.37 is: 1,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.37 : 2,166.62 = 949.37 : x
  2. Step 2: Convert to fraction form
    1,570.37/2,166.62 = 949.37/x
  3. Step 3: Cross multiply
    1,570.37x = 2,166.62 × 949.37
  4. Step 4: Simplify right side
    1,570.37x = 2,056,908.45
  5. Step 5: Solve for x
    x = 2,056,908.45/1,570.37
  6. Step 6: Final answer
    x = 1,309.83

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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.