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Finding the Fourth Proportional to 1,428.06, 2,142.10 and 388.07

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Solution

The fourth proportional to 1,428.06, 2,142.10 and 388.07 is: 582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.06 : 2,142.10 = 388.07 : x
  2. Step 2: Convert to fraction form
    1,428.06/2,142.10 = 388.07/x
  3. Step 3: Cross multiply
    1,428.06x = 2,142.10 × 388.07
  4. Step 4: Simplify right side
    1,428.06x = 831,284.75
  5. Step 5: Solve for x
    x = 831,284.75/1,428.06
  6. Step 6: Final answer
    x = 582.11

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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.