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Finding the Fourth Proportional to 2,396.10, 3,307.02 and 1,512.38

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Solution

The fourth proportional to 2,396.10, 3,307.02 and 1,512.38 is: 2,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.10 : 3,307.02 = 1,512.38 : x
  2. Step 2: Convert to fraction form
    2,396.10/3,307.02 = 1,512.38/x
  3. Step 3: Cross multiply
    2,396.10x = 3,307.02 × 1,512.38
  4. Step 4: Simplify right side
    2,396.10x = 5,001,470.91
  5. Step 5: Solve for x
    x = 5,001,470.91/2,396.10
  6. Step 6: Final answer
    x = 2,087.34

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1.5x scale

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.