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Finding the Fourth Proportional to 2,157.72, 2,977.56 and 1,213.50

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Solution

The fourth proportional to 2,157.72, 2,977.56 and 1,213.50 is: 1,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.72 : 2,977.56 = 1,213.50 : x
  2. Step 2: Convert to fraction form
    2,157.72/2,977.56 = 1,213.50/x
  3. Step 3: Cross multiply
    2,157.72x = 2,977.56 × 1,213.50
  4. Step 4: Simplify right side
    2,157.72x = 3,613,269.06
  5. Step 5: Solve for x
    x = 3,613,269.06/2,157.72
  6. Step 6: Final answer
    x = 1,674.58

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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.