Home / 1,709.17-2,564.57-844.09

Finding the Fourth Proportional to 1,709.17, 2,564.57 and 844.09

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Solution

The fourth proportional to 1,709.17, 2,564.57 and 844.09 is: 1,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.17 : 2,564.57 = 844.09 : x
  2. Step 2: Convert to fraction form
    1,709.17/2,564.57 = 844.09/x
  3. Step 3: Cross multiply
    1,709.17x = 2,564.57 × 844.09
  4. Step 4: Simplify right side
    1,709.17x = 2,164,727.89
  5. Step 5: Solve for x
    x = 2,164,727.89/1,709.17
  6. Step 6: Final answer
    x = 1,266.54

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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.