Home / 2,230.96-3,077.32-1,567.76

Finding the Fourth Proportional to 2,230.96, 3,077.32 and 1,567.76

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Solution

The fourth proportional to 2,230.96, 3,077.32 and 1,567.76 is: 2,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.96 : 3,077.32 = 1,567.76 : x
  2. Step 2: Convert to fraction form
    2,230.96/3,077.32 = 1,567.76/x
  3. Step 3: Cross multiply
    2,230.96x = 3,077.32 × 1,567.76
  4. Step 4: Simplify right side
    2,230.96x = 4,824,499.20
  5. Step 5: Solve for x
    x = 4,824,499.20/2,230.96
  6. Step 6: Final answer
    x = 2,162.52

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1.5x scale

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.