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Finding the Fourth Proportional to 2,396.42, 3,307 and 1,348.46

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Solution

The fourth proportional to 2,396.42, 3,307 and 1,348.46 is: 1,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.42 : 3,307 = 1,348.46 : x
  2. Step 2: Convert to fraction form
    2,396.42/3,307 = 1,348.46/x
  3. Step 3: Cross multiply
    2,396.42x = 3,307 × 1,348.46
  4. Step 4: Simplify right side
    2,396.42x = 4,459,357.22
  5. Step 5: Solve for x
    x = 4,459,357.22/2,396.42
  6. Step 6: Final answer
    x = 1,860.84

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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.