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Finding the Fourth Proportional to 2,932.35, 4,401.61 and 2,866.23

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Solution

The fourth proportional to 2,932.35, 4,401.61 and 2,866.23 is: 4,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.35 : 4,401.61 = 2,866.23 : x
  2. Step 2: Convert to fraction form
    2,932.35/4,401.61 = 2,866.23/x
  3. Step 3: Cross multiply
    2,932.35x = 4,401.61 × 2,866.23
  4. Step 4: Simplify right side
    2,932.35x = 12,616,012.30
  5. Step 5: Solve for x
    x = 12,616,012.30/2,932.35
  6. Step 6: Final answer
    x = 4,302.36

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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.