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Finding the Fourth Proportional to 2,406.96, 3,611.04 and 1,019.58

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Solution

The fourth proportional to 2,406.96, 3,611.04 and 1,019.58 is: 1,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.96 : 3,611.04 = 1,019.58 : x
  2. Step 2: Convert to fraction form
    2,406.96/3,611.04 = 1,019.58/x
  3. Step 3: Cross multiply
    2,406.96x = 3,611.04 × 1,019.58
  4. Step 4: Simplify right side
    2,406.96x = 3,681,744.16
  5. Step 5: Solve for x
    x = 3,681,744.16/2,406.96
  6. Step 6: Final answer
    x = 1,529.62

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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.