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Finding the Fourth Proportional to 3,152.40, 4,728.60 and 2,277.60

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Solution

The fourth proportional to 3,152.40, 4,728.60 and 2,277.60 is: 3,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.40 : 4,728.60 = 2,277.60 : x
  2. Step 2: Convert to fraction form
    3,152.40/4,728.60 = 2,277.60/x
  3. Step 3: Cross multiply
    3,152.40x = 4,728.60 × 2,277.60
  4. Step 4: Simplify right side
    3,152.40x = 10,769,859.36
  5. Step 5: Solve for x
    x = 10,769,859.36/3,152.40
  6. Step 6: Final answer
    x = 3,416.40

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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.