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Finding the Fourth Proportional to 2,336.10, 3,504.33 and 692.62

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Solution

The fourth proportional to 2,336.10, 3,504.33 and 692.62 is: 1,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.10 : 3,504.33 = 692.62 : x
  2. Step 2: Convert to fraction form
    2,336.10/3,504.33 = 692.62/x
  3. Step 3: Cross multiply
    2,336.10x = 3,504.33 × 692.62
  4. Step 4: Simplify right side
    2,336.10x = 2,427,169.04
  5. Step 5: Solve for x
    x = 2,427,169.04/2,336.10
  6. Step 6: Final answer
    x = 1,038.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.