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Finding the Fourth Proportional to 2,692.56, 3,715.80 and 1,574.30

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Solution

The fourth proportional to 2,692.56, 3,715.80 and 1,574.30 is: 2,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.56 : 3,715.80 = 1,574.30 : x
  2. Step 2: Convert to fraction form
    2,692.56/3,715.80 = 1,574.30/x
  3. Step 3: Cross multiply
    2,692.56x = 3,715.80 × 1,574.30
  4. Step 4: Simplify right side
    2,692.56x = 5,849,783.94
  5. Step 5: Solve for x
    x = 5,849,783.94/2,692.56
  6. Step 6: Final answer
    x = 2,172.57

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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.