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Finding the Fourth Proportional to 1,428.57, 1,972.77 and 1,350.92

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Solution

The fourth proportional to 1,428.57, 1,972.77 and 1,350.92 is: 1,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.57 : 1,972.77 = 1,350.92 : x
  2. Step 2: Convert to fraction form
    1,428.57/1,972.77 = 1,350.92/x
  3. Step 3: Cross multiply
    1,428.57x = 1,972.77 × 1,350.92
  4. Step 4: Simplify right side
    1,428.57x = 2,665,054.45
  5. Step 5: Solve for x
    x = 2,665,054.45/1,428.57
  6. Step 6: Final answer
    x = 1,865.55

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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.