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Finding the Fourth Proportional to 1,287.37, 1,938.32 and 1,134.28

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Solution

The fourth proportional to 1,287.37, 1,938.32 and 1,134.28 is: 1,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.37 : 1,938.32 = 1,134.28 : x
  2. Step 2: Convert to fraction form
    1,287.37/1,938.32 = 1,134.28/x
  3. Step 3: Cross multiply
    1,287.37x = 1,938.32 × 1,134.28
  4. Step 4: Simplify right side
    1,287.37x = 2,198,587.92
  5. Step 5: Solve for x
    x = 2,198,587.92/1,287.37
  6. Step 6: Final answer
    x = 1,707.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.