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Finding the Fourth Proportional to 2,153.34, 3,229.71 and 692.30

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Solution

The fourth proportional to 2,153.34, 3,229.71 and 692.30 is: 1,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.34 : 3,229.71 = 692.30 : x
  2. Step 2: Convert to fraction form
    2,153.34/3,229.71 = 692.30/x
  3. Step 3: Cross multiply
    2,153.34x = 3,229.71 × 692.30
  4. Step 4: Simplify right side
    2,153.34x = 2,235,933.71
  5. Step 5: Solve for x
    x = 2,235,933.71/2,153.34
  6. Step 6: Final answer
    x = 1,038.36

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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.