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Finding the Fourth Proportional to 1,542.47, 2,313.75 and 388.22

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Solution

The fourth proportional to 1,542.47, 2,313.75 and 388.22 is: 582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.47 : 2,313.75 = 388.22 : x
  2. Step 2: Convert to fraction form
    1,542.47/2,313.75 = 388.22/x
  3. Step 3: Cross multiply
    1,542.47x = 2,313.75 × 388.22
  4. Step 4: Simplify right side
    1,542.47x = 898,232.46
  5. Step 5: Solve for x
    x = 898,232.46/1,542.47
  6. Step 6: Final answer
    x = 582.34

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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.