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Finding the Fourth Proportional to 2,322.47, 3,205 and 1,274.53

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Solution

The fourth proportional to 2,322.47, 3,205 and 1,274.53 is: 1,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.47 : 3,205 = 1,274.53 : x
  2. Step 2: Convert to fraction form
    2,322.47/3,205 = 1,274.53/x
  3. Step 3: Cross multiply
    2,322.47x = 3,205 × 1,274.53
  4. Step 4: Simplify right side
    2,322.47x = 4,084,868.65
  5. Step 5: Solve for x
    x = 4,084,868.65/2,322.47
  6. Step 6: Final answer
    x = 1,758.85

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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.