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Finding the Fourth Proportional to 1,428.74, 1,972.26 and 1,035.69

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Solution

The fourth proportional to 1,428.74, 1,972.26 and 1,035.69 is: 1,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.74 : 1,972.26 = 1,035.69 : x
  2. Step 2: Convert to fraction form
    1,428.74/1,972.26 = 1,035.69/x
  3. Step 3: Cross multiply
    1,428.74x = 1,972.26 × 1,035.69
  4. Step 4: Simplify right side
    1,428.74x = 2,042,649.96
  5. Step 5: Solve for x
    x = 2,042,649.96/1,428.74
  6. Step 6: Final answer
    x = 1,429.68

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