Home / 1,827.56-2,741.76-595.04

Finding the Fourth Proportional to 1,827.56, 2,741.76 and 595.04

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Solution

The fourth proportional to 1,827.56, 2,741.76 and 595.04 is: 892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.56 : 2,741.76 = 595.04 : x
  2. Step 2: Convert to fraction form
    1,827.56/2,741.76 = 595.04/x
  3. Step 3: Cross multiply
    1,827.56x = 2,741.76 × 595.04
  4. Step 4: Simplify right side
    1,827.56x = 1,631,456.87
  5. Step 5: Solve for x
    x = 1,631,456.87/1,827.56
  6. Step 6: Final answer
    x = 892.70

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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.