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Finding the Fourth Proportional to 2,371.61, 3,556.82 and 705.35

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Solution

The fourth proportional to 2,371.61, 3,556.82 and 705.35 is: 1,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.61 : 3,556.82 = 705.35 : x
  2. Step 2: Convert to fraction form
    2,371.61/3,556.82 = 705.35/x
  3. Step 3: Cross multiply
    2,371.61x = 3,556.82 × 705.35
  4. Step 4: Simplify right side
    2,371.61x = 2,508,813.64
  5. Step 5: Solve for x
    x = 2,508,813.64/2,371.61
  6. Step 6: Final answer
    x = 1,057.85

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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.