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Finding the Fourth Proportional to 1,813.79, 2,709.15 and 1,609.67

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Solution

The fourth proportional to 1,813.79, 2,709.15 and 1,609.67 is: 2,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.79 : 2,709.15 = 1,609.67 : x
  2. Step 2: Convert to fraction form
    1,813.79/2,709.15 = 1,609.67/x
  3. Step 3: Cross multiply
    1,813.79x = 2,709.15 × 1,609.67
  4. Step 4: Simplify right side
    1,813.79x = 4,360,838.22
  5. Step 5: Solve for x
    x = 4,360,838.22/1,813.79
  6. Step 6: Final answer
    x = 2,404.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.