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Finding the Fourth Proportional to 2,396.52, 3,599.01 and 2,119.50

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Solution

The fourth proportional to 2,396.52, 3,599.01 and 2,119.50 is: 3,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.52 : 3,599.01 = 2,119.50 : x
  2. Step 2: Convert to fraction form
    2,396.52/3,599.01 = 2,119.50/x
  3. Step 3: Cross multiply
    2,396.52x = 3,599.01 × 2,119.50
  4. Step 4: Simplify right side
    2,396.52x = 7,628,101.70
  5. Step 5: Solve for x
    x = 7,628,101.70/2,396.52
  6. Step 6: Final answer
    x = 3,182.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.