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Finding the Fourth Proportional to 3,145.60, 4,715.30 and 1,759.60

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Solution

The fourth proportional to 3,145.60, 4,715.30 and 1,759.60 is: 2,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.60 : 4,715.30 = 1,759.60 : x
  2. Step 2: Convert to fraction form
    3,145.60/4,715.30 = 1,759.60/x
  3. Step 3: Cross multiply
    3,145.60x = 4,715.30 × 1,759.60
  4. Step 4: Simplify right side
    3,145.60x = 8,297,041.88
  5. Step 5: Solve for x
    x = 8,297,041.88/3,145.60
  6. Step 6: Final answer
    x = 2,637.67

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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.