Home / 1,580.23-2,180.28-1,020.72

Finding the Fourth Proportional to 1,580.23, 2,180.28 and 1,020.72

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Solution

The fourth proportional to 1,580.23, 2,180.28 and 1,020.72 is: 1,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.23 : 2,180.28 = 1,020.72 : x
  2. Step 2: Convert to fraction form
    1,580.23/2,180.28 = 1,020.72/x
  3. Step 3: Cross multiply
    1,580.23x = 2,180.28 × 1,020.72
  4. Step 4: Simplify right side
    1,580.23x = 2,225,460.85
  5. Step 5: Solve for x
    x = 2,225,460.85/1,580.23
  6. Step 6: Final answer
    x = 1,408.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.