Home / 1,206.07-1,809.10-1,024.73

Finding the Fourth Proportional to 1,206.07, 1,809.10 and 1,024.73

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Solution

The fourth proportional to 1,206.07, 1,809.10 and 1,024.73 is: 1,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.07 : 1,809.10 = 1,024.73 : x
  2. Step 2: Convert to fraction form
    1,206.07/1,809.10 = 1,024.73/x
  3. Step 3: Cross multiply
    1,206.07x = 1,809.10 × 1,024.73
  4. Step 4: Simplify right side
    1,206.07x = 1,853,839.04
  5. Step 5: Solve for x
    x = 1,853,839.04/1,206.07
  6. Step 6: Final answer
    x = 1,537.09

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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.