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Finding the Fourth Proportional to 2,513.84, 3,469.64 and 2,396.64

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Solution

The fourth proportional to 2,513.84, 3,469.64 and 2,396.64 is: 3,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.84 : 3,469.64 = 2,396.64 : x
  2. Step 2: Convert to fraction form
    2,513.84/3,469.64 = 2,396.64/x
  3. Step 3: Cross multiply
    2,513.84x = 3,469.64 × 2,396.64
  4. Step 4: Simplify right side
    2,513.84x = 8,315,478.01
  5. Step 5: Solve for x
    x = 8,315,478.01/2,513.84
  6. Step 6: Final answer
    x = 3,307.88

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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.