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Finding the Fourth Proportional to 2,712.28, 4,075.28 and 2,602.94

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Solution

The fourth proportional to 2,712.28, 4,075.28 and 2,602.94 is: 3,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.28 : 4,075.28 = 2,602.94 : x
  2. Step 2: Convert to fraction form
    2,712.28/4,075.28 = 2,602.94/x
  3. Step 3: Cross multiply
    2,712.28x = 4,075.28 × 2,602.94
  4. Step 4: Simplify right side
    2,712.28x = 10,607,709.32
  5. Step 5: Solve for x
    x = 10,607,709.32/2,712.28
  6. Step 6: Final answer
    x = 3,910.99

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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.