Home / 2,109.52-3,161.40-1,563.76

Finding the Fourth Proportional to 2,109.52, 3,161.40 and 1,563.76

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Solution

The fourth proportional to 2,109.52, 3,161.40 and 1,563.76 is: 2,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.52 : 3,161.40 = 1,563.76 : x
  2. Step 2: Convert to fraction form
    2,109.52/3,161.40 = 1,563.76/x
  3. Step 3: Cross multiply
    2,109.52x = 3,161.40 × 1,563.76
  4. Step 4: Simplify right side
    2,109.52x = 4,943,670.86
  5. Step 5: Solve for x
    x = 4,943,670.86/2,109.52
  6. Step 6: Final answer
    x = 2,343.51

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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.