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Finding the Fourth Proportional to 2,157.70, 2,977.77 and 1,213.59

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Solution

The fourth proportional to 2,157.70, 2,977.77 and 1,213.59 is: 1,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.70 : 2,977.77 = 1,213.59 : x
  2. Step 2: Convert to fraction form
    2,157.70/2,977.77 = 1,213.59/x
  3. Step 3: Cross multiply
    2,157.70x = 2,977.77 × 1,213.59
  4. Step 4: Simplify right side
    2,157.70x = 3,613,773.72
  5. Step 5: Solve for x
    x = 3,613,773.72/2,157.70
  6. Step 6: Final answer
    x = 1,674.83

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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.