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Finding the Fourth Proportional to 2,732.81, 3,765.29 and 2,283.09

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Solution

The fourth proportional to 2,732.81, 3,765.29 and 2,283.09 is: 3,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.81 : 3,765.29 = 2,283.09 : x
  2. Step 2: Convert to fraction form
    2,732.81/3,765.29 = 2,283.09/x
  3. Step 3: Cross multiply
    2,732.81x = 3,765.29 × 2,283.09
  4. Step 4: Simplify right side
    2,732.81x = 8,596,484.53
  5. Step 5: Solve for x
    x = 8,596,484.53/2,732.81
  6. Step 6: Final answer
    x = 3,145.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.