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Finding the Fourth Proportional to 2,328.48, 3,213.29 and 1,280.52

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Solution

The fourth proportional to 2,328.48, 3,213.29 and 1,280.52 is: 1,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.48 : 3,213.29 = 1,280.52 : x
  2. Step 2: Convert to fraction form
    2,328.48/3,213.29 = 1,280.52/x
  3. Step 3: Cross multiply
    2,328.48x = 3,213.29 × 1,280.52
  4. Step 4: Simplify right side
    2,328.48x = 4,114,685.31
  5. Step 5: Solve for x
    x = 4,114,685.31/2,328.48
  6. Step 6: Final answer
    x = 1,767.11

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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.