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Finding the Fourth Proportional to 2,675.28, 3,692.28 and 2,044.72

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Solution

The fourth proportional to 2,675.28, 3,692.28 and 2,044.72 is: 2,822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.28 : 3,692.28 = 2,044.72 : x
  2. Step 2: Convert to fraction form
    2,675.28/3,692.28 = 2,044.72/x
  3. Step 3: Cross multiply
    2,675.28x = 3,692.28 × 2,044.72
  4. Step 4: Simplify right side
    2,675.28x = 7,549,678.76
  5. Step 5: Solve for x
    x = 7,549,678.76/2,675.28
  6. Step 6: Final answer
    x = 2,822.01

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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.