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Finding the Fourth Proportional to 2,328.68, 3,213.59 and 1,334.00

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Solution

The fourth proportional to 2,328.68, 3,213.59 and 1,334.00 is: 1,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.68 : 3,213.59 = 1,334.00 : x
  2. Step 2: Convert to fraction form
    2,328.68/3,213.59 = 1,334.00/x
  3. Step 3: Cross multiply
    2,328.68x = 3,213.59 × 1,334.00
  4. Step 4: Simplify right side
    2,328.68x = 4,286,906.32
  5. Step 5: Solve for x
    x = 4,286,906.32/2,328.68
  6. Step 6: Final answer
    x = 1,840.92

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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.