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Finding the Fourth Proportional to 2,371.59, 3,556.77 and 705.33

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Solution

The fourth proportional to 2,371.59, 3,556.77 and 705.33 is: 1,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.59 : 3,556.77 = 705.33 : x
  2. Step 2: Convert to fraction form
    2,371.59/3,556.77 = 705.33/x
  3. Step 3: Cross multiply
    2,371.59x = 3,556.77 × 705.33
  4. Step 4: Simplify right side
    2,371.59x = 2,508,696.58
  5. Step 5: Solve for x
    x = 2,508,696.58/2,371.59
  6. Step 6: Final answer
    x = 1,057.81

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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.