Home / 1,827.71-2,741.61-595.14

Finding the Fourth Proportional to 1,827.71, 2,741.61 and 595.14

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Solution

The fourth proportional to 1,827.71, 2,741.61 and 595.14 is: 892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.71 : 2,741.61 = 595.14 : x
  2. Step 2: Convert to fraction form
    1,827.71/2,741.61 = 595.14/x
  3. Step 3: Cross multiply
    1,827.71x = 2,741.61 × 595.14
  4. Step 4: Simplify right side
    1,827.71x = 1,631,641.78
  5. Step 5: Solve for x
    x = 1,631,641.78/1,827.71
  6. Step 6: Final answer
    x = 892.73

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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.