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Finding the Fourth Proportional to 1,752.05, 2,627.42 and 711.78

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Solution

The fourth proportional to 1,752.05, 2,627.42 and 711.78 is: 1,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.05 : 2,627.42 = 711.78 : x
  2. Step 2: Convert to fraction form
    1,752.05/2,627.42 = 711.78/x
  3. Step 3: Cross multiply
    1,752.05x = 2,627.42 × 711.78
  4. Step 4: Simplify right side
    1,752.05x = 1,870,146.79
  5. Step 5: Solve for x
    x = 1,870,146.79/1,752.05
  6. Step 6: Final answer
    x = 1,067.41

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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.