Home / 2,307.08-3,460.68-826.41

Finding the Fourth Proportional to 2,307.08, 3,460.68 and 826.41

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Solution

The fourth proportional to 2,307.08, 3,460.68 and 826.41 is: 1,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.08 : 3,460.68 = 826.41 : x
  2. Step 2: Convert to fraction form
    2,307.08/3,460.68 = 826.41/x
  3. Step 3: Cross multiply
    2,307.08x = 3,460.68 × 826.41
  4. Step 4: Simplify right side
    2,307.08x = 2,859,928.04
  5. Step 5: Solve for x
    x = 2,859,928.04/2,307.08
  6. Step 6: Final answer
    x = 1,239.63

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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.