Home / 1,827.24-2,741.12-577.41

Finding the Fourth Proportional to 1,827.24, 2,741.12 and 577.41

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Solution

The fourth proportional to 1,827.24, 2,741.12 and 577.41 is: 866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.24 : 2,741.12 = 577.41 : x
  2. Step 2: Convert to fraction form
    1,827.24/2,741.12 = 577.41/x
  3. Step 3: Cross multiply
    1,827.24x = 2,741.12 × 577.41
  4. Step 4: Simplify right side
    1,827.24x = 1,582,751.54
  5. Step 5: Solve for x
    x = 1,582,751.54/1,827.24
  6. Step 6: Final answer
    x = 866.20

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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.