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Finding the Fourth Proportional to 2,336.31, 3,503.87 and 692.47

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Solution

The fourth proportional to 2,336.31, 3,503.87 and 692.47 is: 1,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.31 : 3,503.87 = 692.47 : x
  2. Step 2: Convert to fraction form
    2,336.31/3,503.87 = 692.47/x
  3. Step 3: Cross multiply
    2,336.31x = 3,503.87 × 692.47
  4. Step 4: Simplify right side
    2,336.31x = 2,426,312.64
  5. Step 5: Solve for x
    x = 2,426,312.64/2,336.31
  6. Step 6: Final answer
    x = 1,038.52

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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.