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Finding the Fourth Proportional to 1,827.74, 2,742.52 and 854.54

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Solution

The fourth proportional to 1,827.74, 2,742.52 and 854.54 is: 1,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.74 : 2,742.52 = 854.54 : x
  2. Step 2: Convert to fraction form
    1,827.74/2,742.52 = 854.54/x
  3. Step 3: Cross multiply
    1,827.74x = 2,742.52 × 854.54
  4. Step 4: Simplify right side
    1,827.74x = 2,343,593.04
  5. Step 5: Solve for x
    x = 2,343,593.04/1,827.74
  6. Step 6: Final answer
    x = 1,282.24

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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.