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Finding the Fourth Proportional to 2,609.60, 3,914.92 and 1,148.76

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Solution

The fourth proportional to 2,609.60, 3,914.92 and 1,148.76 is: 1,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.60 : 3,914.92 = 1,148.76 : x
  2. Step 2: Convert to fraction form
    2,609.60/3,914.92 = 1,148.76/x
  3. Step 3: Cross multiply
    2,609.60x = 3,914.92 × 1,148.76
  4. Step 4: Simplify right side
    2,609.60x = 4,497,303.50
  5. Step 5: Solve for x
    x = 4,497,303.50/2,609.60
  6. Step 6: Final answer
    x = 1,723.37

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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.