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Finding the Fourth Proportional to 2,675.88, 3,692.46 and 2,117.74

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Solution

The fourth proportional to 2,675.88, 3,692.46 and 2,117.74 is: 2,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.88 : 3,692.46 = 2,117.74 : x
  2. Step 2: Convert to fraction form
    2,675.88/3,692.46 = 2,117.74/x
  3. Step 3: Cross multiply
    2,675.88x = 3,692.46 × 2,117.74
  4. Step 4: Simplify right side
    2,675.88x = 7,819,670.24
  5. Step 5: Solve for x
    x = 7,819,670.24/2,675.88
  6. Step 6: Final answer
    x = 2,922.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.