Home / 2,120.16-3,181.32-1,547.76

Finding the Fourth Proportional to 2,120.16, 3,181.32 and 1,547.76

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Solution

The fourth proportional to 2,120.16, 3,181.32 and 1,547.76 is: 2,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.16 : 3,181.32 = 1,547.76 : x
  2. Step 2: Convert to fraction form
    2,120.16/3,181.32 = 1,547.76/x
  3. Step 3: Cross multiply
    2,120.16x = 3,181.32 × 1,547.76
  4. Step 4: Simplify right side
    2,120.16x = 4,923,919.84
  5. Step 5: Solve for x
    x = 4,923,919.84/2,120.16
  6. Step 6: Final answer
    x = 2,322.43

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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.