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Finding the Fourth Proportional to 2,692.88, 4,042.92 and 2,605.40

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Solution

The fourth proportional to 2,692.88, 4,042.92 and 2,605.40 is: 3,911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.88 : 4,042.92 = 2,605.40 : x
  2. Step 2: Convert to fraction form
    2,692.88/4,042.92 = 2,605.40/x
  3. Step 3: Cross multiply
    2,692.88x = 4,042.92 × 2,605.40
  4. Step 4: Simplify right side
    2,692.88x = 10,533,423.77
  5. Step 5: Solve for x
    x = 10,533,423.77/2,692.88
  6. Step 6: Final answer
    x = 3,911.58

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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.