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Finding the Fourth Proportional to 1,609.56, 2,412.72 and 1,224

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Solution

The fourth proportional to 1,609.56, 2,412.72 and 1,224 is: 1,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.56 : 2,412.72 = 1,224 : x
  2. Step 2: Convert to fraction form
    1,609.56/2,412.72 = 1,224/x
  3. Step 3: Cross multiply
    1,609.56x = 2,412.72 × 1,224
  4. Step 4: Simplify right side
    1,609.56x = 2,953,169.28
  5. Step 5: Solve for x
    x = 2,953,169.28/1,609.56
  6. Step 6: Final answer
    x = 1,834.77

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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.