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Finding the Fourth Proportional to 2,252.72, 3,378.15 and 692.34

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Solution

The fourth proportional to 2,252.72, 3,378.15 and 692.34 is: 1,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.72 : 3,378.15 = 692.34 : x
  2. Step 2: Convert to fraction form
    2,252.72/3,378.15 = 692.34/x
  3. Step 3: Cross multiply
    2,252.72x = 3,378.15 × 692.34
  4. Step 4: Simplify right side
    2,252.72x = 2,338,828.37
  5. Step 5: Solve for x
    x = 2,338,828.37/2,252.72
  6. Step 6: Final answer
    x = 1,038.23

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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.