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Finding the Fourth Proportional to 1,350.70, 2,026.25 and 938.81

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Solution

The fourth proportional to 1,350.70, 2,026.25 and 938.81 is: 1,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.70 : 2,026.25 = 938.81 : x
  2. Step 2: Convert to fraction form
    1,350.70/2,026.25 = 938.81/x
  3. Step 3: Cross multiply
    1,350.70x = 2,026.25 × 938.81
  4. Step 4: Simplify right side
    1,350.70x = 1,902,263.76
  5. Step 5: Solve for x
    x = 1,902,263.76/1,350.70
  6. Step 6: Final answer
    x = 1,408.35

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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.