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Finding the Fourth Proportional to 2,396.60, 3,307.20 and 1,452.38

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Solution

The fourth proportional to 2,396.60, 3,307.20 and 1,452.38 is: 2,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.60 : 3,307.20 = 1,452.38 : x
  2. Step 2: Convert to fraction form
    2,396.60/3,307.20 = 1,452.38/x
  3. Step 3: Cross multiply
    2,396.60x = 3,307.20 × 1,452.38
  4. Step 4: Simplify right side
    2,396.60x = 4,803,311.14
  5. Step 5: Solve for x
    x = 4,803,311.14/2,396.60
  6. Step 6: Final answer
    x = 2,004.22

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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.