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Finding the Fourth Proportional to 1,828.46, 2,742.70 and 732.52

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Solution

The fourth proportional to 1,828.46, 2,742.70 and 732.52 is: 1,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.46 : 2,742.70 = 732.52 : x
  2. Step 2: Convert to fraction form
    1,828.46/2,742.70 = 732.52/x
  3. Step 3: Cross multiply
    1,828.46x = 2,742.70 × 732.52
  4. Step 4: Simplify right side
    1,828.46x = 2,009,082.60
  5. Step 5: Solve for x
    x = 2,009,082.60/1,828.46
  6. Step 6: Final answer
    x = 1,098.78

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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.