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Finding the Fourth Proportional to 1,609.28, 2,412 and 1,119.68

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Solution

The fourth proportional to 1,609.28, 2,412 and 1,119.68 is: 1,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.28 : 2,412 = 1,119.68 : x
  2. Step 2: Convert to fraction form
    1,609.28/2,412 = 1,119.68/x
  3. Step 3: Cross multiply
    1,609.28x = 2,412 × 1,119.68
  4. Step 4: Simplify right side
    1,609.28x = 2,700,668.16
  5. Step 5: Solve for x
    x = 2,700,668.16/1,609.28
  6. Step 6: Final answer
    x = 1,678.18

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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.