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Finding the Fourth Proportional to 1,428.90, 2,143.20 and 389

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Solution

The fourth proportional to 1,428.90, 2,143.20 and 389 is: 583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.90 : 2,143.20 = 389 : x
  2. Step 2: Convert to fraction form
    1,428.90/2,143.20 = 389/x
  3. Step 3: Cross multiply
    1,428.90x = 2,143.20 × 389
  4. Step 4: Simplify right side
    1,428.90x = 833,704.80
  5. Step 5: Solve for x
    x = 833,704.80/1,428.90
  6. Step 6: Final answer
    x = 583.46

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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.