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Finding the Fourth Proportional to 2,322.48, 3,205.32 and 1,314.40

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Solution

The fourth proportional to 2,322.48, 3,205.32 and 1,314.40 is: 1,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.48 : 3,205.32 = 1,314.40 : x
  2. Step 2: Convert to fraction form
    2,322.48/3,205.32 = 1,314.40/x
  3. Step 3: Cross multiply
    2,322.48x = 3,205.32 × 1,314.40
  4. Step 4: Simplify right side
    2,322.48x = 4,213,072.61
  5. Step 5: Solve for x
    x = 4,213,072.61/2,322.48
  6. Step 6: Final answer
    x = 1,814.04

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Why These Related Problems?

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