Home / 2,742.08-4,110.24-1,280

Finding the Fourth Proportional to 2,742.08, 4,110.24 and 1,280

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Solution

The fourth proportional to 2,742.08, 4,110.24 and 1,280 is: 1,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.08 : 4,110.24 = 1,280 : x
  2. Step 2: Convert to fraction form
    2,742.08/4,110.24 = 1,280/x
  3. Step 3: Cross multiply
    2,742.08x = 4,110.24 × 1,280
  4. Step 4: Simplify right side
    2,742.08x = 5,261,107.20
  5. Step 5: Solve for x
    x = 5,261,107.20/2,742.08
  6. Step 6: Final answer
    x = 1,918.66

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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.