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Finding the Fourth Proportional to 1,828.40, 2,742.54 and 732.47

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Solution

The fourth proportional to 1,828.40, 2,742.54 and 732.47 is: 1,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.40 : 2,742.54 = 732.47 : x
  2. Step 2: Convert to fraction form
    1,828.40/2,742.54 = 732.47/x
  3. Step 3: Cross multiply
    1,828.40x = 2,742.54 × 732.47
  4. Step 4: Simplify right side
    1,828.40x = 2,008,828.27
  5. Step 5: Solve for x
    x = 2,008,828.27/1,828.40
  6. Step 6: Final answer
    x = 1,098.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.