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Finding the Fourth Proportional to 3,157.34, 4,736.04 and 848.84

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Solution

The fourth proportional to 3,157.34, 4,736.04 and 848.84 is: 1,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.34 : 4,736.04 = 848.84 : x
  2. Step 2: Convert to fraction form
    3,157.34/4,736.04 = 848.84/x
  3. Step 3: Cross multiply
    3,157.34x = 4,736.04 × 848.84
  4. Step 4: Simplify right side
    3,157.34x = 4,020,140.19
  5. Step 5: Solve for x
    x = 4,020,140.19/3,157.34
  6. Step 6: Final answer
    x = 1,273.27

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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.