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Finding the Fourth Proportional to 2,541.40, 3,811.46 and 692.42

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Solution

The fourth proportional to 2,541.40, 3,811.46 and 692.42 is: 1,038.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.40 : 3,811.46 = 692.42 : x
  2. Step 2: Convert to fraction form
    2,541.40/3,811.46 = 692.42/x
  3. Step 3: Cross multiply
    2,541.40x = 3,811.46 × 692.42
  4. Step 4: Simplify right side
    2,541.40x = 2,639,131.13
  5. Step 5: Solve for x
    x = 2,639,131.13/2,541.40
  6. Step 6: Final answer
    x = 1,038.46

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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.