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Finding the Fourth Proportional to 3,130.56, 4,695.21 and 1,157.40

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Solution

The fourth proportional to 3,130.56, 4,695.21 and 1,157.40 is: 1,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.56 : 4,695.21 = 1,157.40 : x
  2. Step 2: Convert to fraction form
    3,130.56/4,695.21 = 1,157.40/x
  3. Step 3: Cross multiply
    3,130.56x = 4,695.21 × 1,157.40
  4. Step 4: Simplify right side
    3,130.56x = 5,434,236.05
  5. Step 5: Solve for x
    x = 5,434,236.05/3,130.56
  6. Step 6: Final answer
    x = 1,735.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.