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Finding the Fourth Proportional to 3,157.60, 4,734.56 and 1,307.20

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Solution

The fourth proportional to 3,157.60, 4,734.56 and 1,307.20 is: 1,960.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.60 : 4,734.56 = 1,307.20 : x
  2. Step 2: Convert to fraction form
    3,157.60/4,734.56 = 1,307.20/x
  3. Step 3: Cross multiply
    3,157.60x = 4,734.56 × 1,307.20
  4. Step 4: Simplify right side
    3,157.60x = 6,189,016.83
  5. Step 5: Solve for x
    x = 6,189,016.83/3,157.60
  6. Step 6: Final answer
    x = 1,960.04

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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.