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Finding the Fourth Proportional to 2,609.14, 3,913.53 and 1,202.76

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Solution

The fourth proportional to 2,609.14, 3,913.53 and 1,202.76 is: 1,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.14 : 3,913.53 = 1,202.76 : x
  2. Step 2: Convert to fraction form
    2,609.14/3,913.53 = 1,202.76/x
  3. Step 3: Cross multiply
    2,609.14x = 3,913.53 × 1,202.76
  4. Step 4: Simplify right side
    2,609.14x = 4,707,037.34
  5. Step 5: Solve for x
    x = 4,707,037.34/2,609.14
  6. Step 6: Final answer
    x = 1,804.06

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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.