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Finding the Fourth Proportional to 3,317.60, 4,976.40 and 852.42

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Solution

The fourth proportional to 3,317.60, 4,976.40 and 852.42 is: 1,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.60 : 4,976.40 = 852.42 : x
  2. Step 2: Convert to fraction form
    3,317.60/4,976.40 = 852.42/x
  3. Step 3: Cross multiply
    3,317.60x = 4,976.40 × 852.42
  4. Step 4: Simplify right side
    3,317.60x = 4,242,004.75
  5. Step 5: Solve for x
    x = 4,242,004.75/3,317.60
  6. Step 6: Final answer
    x = 1,278.64

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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.