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Finding the Fourth Proportional to 3,157.40, 4,352.82 and 1,977.68

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Solution

The fourth proportional to 3,157.40, 4,352.82 and 1,977.68 is: 2,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.40 : 4,352.82 = 1,977.68 : x
  2. Step 2: Convert to fraction form
    3,157.40/4,352.82 = 1,977.68/x
  3. Step 3: Cross multiply
    3,157.40x = 4,352.82 × 1,977.68
  4. Step 4: Simplify right side
    3,157.40x = 8,608,485.06
  5. Step 5: Solve for x
    x = 8,608,485.06/3,157.40
  6. Step 6: Final answer
    x = 2,726.45

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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.