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Finding the Fourth Proportional to 1,609.93, 2,404.91 and 1,167.67

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Solution

The fourth proportional to 1,609.93, 2,404.91 and 1,167.67 is: 1,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.93 : 2,404.91 = 1,167.67 : x
  2. Step 2: Convert to fraction form
    1,609.93/2,404.91 = 1,167.67/x
  3. Step 3: Cross multiply
    1,609.93x = 2,404.91 × 1,167.67
  4. Step 4: Simplify right side
    1,609.93x = 2,808,141.26
  5. Step 5: Solve for x
    x = 2,808,141.26/1,609.93
  6. Step 6: Final answer
    x = 1,744.26

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1.5x scale

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.