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Finding the Fourth Proportional to 1,627.27, 2,441.34 and 703.48

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Solution

The fourth proportional to 1,627.27, 2,441.34 and 703.48 is: 1,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.27 : 2,441.34 = 703.48 : x
  2. Step 2: Convert to fraction form
    1,627.27/2,441.34 = 703.48/x
  3. Step 3: Cross multiply
    1,627.27x = 2,441.34 × 703.48
  4. Step 4: Simplify right side
    1,627.27x = 1,717,418.14
  5. Step 5: Solve for x
    x = 1,717,418.14/1,627.27
  6. Step 6: Final answer
    x = 1,055.40

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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.