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Finding the Fourth Proportional to 1,362.28, 2,043.19 and 388.16

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Solution

The fourth proportional to 1,362.28, 2,043.19 and 388.16 is: 582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.28 : 2,043.19 = 388.16 : x
  2. Step 2: Convert to fraction form
    1,362.28/2,043.19 = 388.16/x
  3. Step 3: Cross multiply
    1,362.28x = 2,043.19 × 388.16
  4. Step 4: Simplify right side
    1,362.28x = 793,084.63
  5. Step 5: Solve for x
    x = 793,084.63/1,362.28
  6. Step 6: Final answer
    x = 582.17

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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.