Home / 1,604.19-2,404.16-824.16

Finding the Fourth Proportional to 1,604.19, 2,404.16 and 824.16

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Solution

The fourth proportional to 1,604.19, 2,404.16 and 824.16 is: 1,235.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.19 : 2,404.16 = 824.16 : x
  2. Step 2: Convert to fraction form
    1,604.19/2,404.16 = 824.16/x
  3. Step 3: Cross multiply
    1,604.19x = 2,404.16 × 824.16
  4. Step 4: Simplify right side
    1,604.19x = 1,981,412.51
  5. Step 5: Solve for x
    x = 1,981,412.51/1,604.19
  6. Step 6: Final answer
    x = 1,235.15

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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.