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Finding the Fourth Proportional to 2,328.64, 3,213.60 and 1,280.76

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Solution

The fourth proportional to 2,328.64, 3,213.60 and 1,280.76 is: 1,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.64 : 3,213.60 = 1,280.76 : x
  2. Step 2: Convert to fraction form
    2,328.64/3,213.60 = 1,280.76/x
  3. Step 3: Cross multiply
    2,328.64x = 3,213.60 × 1,280.76
  4. Step 4: Simplify right side
    2,328.64x = 4,115,850.34
  5. Step 5: Solve for x
    x = 4,115,850.34/2,328.64
  6. Step 6: Final answer
    x = 1,767.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.