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Finding the Fourth Proportional to 1,827.81, 2,742.11 and 595.19

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Solution

The fourth proportional to 1,827.81, 2,742.11 and 595.19 is: 892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.81 : 2,742.11 = 595.19 : x
  2. Step 2: Convert to fraction form
    1,827.81/2,742.11 = 595.19/x
  3. Step 3: Cross multiply
    1,827.81x = 2,742.11 × 595.19
  4. Step 4: Simplify right side
    1,827.81x = 1,632,076.45
  5. Step 5: Solve for x
    x = 1,632,076.45/1,827.81
  6. Step 6: Final answer
    x = 892.91

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1.5x scale

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.