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Finding the Fourth Proportional to 2,328.56, 3,213.40 and 1,280.56

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Solution

The fourth proportional to 2,328.56, 3,213.40 and 1,280.56 is: 1,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.56 : 3,213.40 = 1,280.56 : x
  2. Step 2: Convert to fraction form
    2,328.56/3,213.40 = 1,280.56/x
  3. Step 3: Cross multiply
    2,328.56x = 3,213.40 × 1,280.56
  4. Step 4: Simplify right side
    2,328.56x = 4,114,951.50
  5. Step 5: Solve for x
    x = 4,114,951.50/2,328.56
  6. Step 6: Final answer
    x = 1,767.17

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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.