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Finding the Fourth Proportional to 3,157.32, 4,736.66 and 965.98

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Solution

The fourth proportional to 3,157.32, 4,736.66 and 965.98 is: 1,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.32 : 4,736.66 = 965.98 : x
  2. Step 2: Convert to fraction form
    3,157.32/4,736.66 = 965.98/x
  3. Step 3: Cross multiply
    3,157.32x = 4,736.66 × 965.98
  4. Step 4: Simplify right side
    3,157.32x = 4,575,518.83
  5. Step 5: Solve for x
    x = 4,575,518.83/3,157.32
  6. Step 6: Final answer
    x = 1,449.18

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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.