Home / 2,026.06-3,038.97-709.71

Finding the Fourth Proportional to 2,026.06, 3,038.97 and 709.71

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Solution

The fourth proportional to 2,026.06, 3,038.97 and 709.71 is: 1,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.06 : 3,038.97 = 709.71 : x
  2. Step 2: Convert to fraction form
    2,026.06/3,038.97 = 709.71/x
  3. Step 3: Cross multiply
    2,026.06x = 3,038.97 × 709.71
  4. Step 4: Simplify right side
    2,026.06x = 2,156,791.77
  5. Step 5: Solve for x
    x = 2,156,791.77/2,026.06
  6. Step 6: Final answer
    x = 1,064.52

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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.