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Finding the Fourth Proportional to 2,322.52, 3,205.18 and 1,391

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Solution

The fourth proportional to 2,322.52, 3,205.18 and 1,391 is: 1,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.52 : 3,205.18 = 1,391 : x
  2. Step 2: Convert to fraction form
    2,322.52/3,205.18 = 1,391/x
  3. Step 3: Cross multiply
    2,322.52x = 3,205.18 × 1,391
  4. Step 4: Simplify right side
    2,322.52x = 4,458,405.38
  5. Step 5: Solve for x
    x = 4,458,405.38/2,322.52
  6. Step 6: Final answer
    x = 1,919.64

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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.