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Finding the Fourth Proportional to 1,428.02, 2,142.17 and 388.03

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Solution

The fourth proportional to 1,428.02, 2,142.17 and 388.03 is: 582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.02 : 2,142.17 = 388.03 : x
  2. Step 2: Convert to fraction form
    1,428.02/2,142.17 = 388.03/x
  3. Step 3: Cross multiply
    1,428.02x = 2,142.17 × 388.03
  4. Step 4: Simplify right side
    1,428.02x = 831,226.23
  5. Step 5: Solve for x
    x = 831,226.23/1,428.02
  6. Step 6: Final answer
    x = 582.08

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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.