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Finding the Fourth Proportional to 2,335.64, 3,504.12 and 692.18

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Solution

The fourth proportional to 2,335.64, 3,504.12 and 692.18 is: 1,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.64 : 3,504.12 = 692.18 : x
  2. Step 2: Convert to fraction form
    2,335.64/3,504.12 = 692.18/x
  3. Step 3: Cross multiply
    2,335.64x = 3,504.12 × 692.18
  4. Step 4: Simplify right side
    2,335.64x = 2,425,481.78
  5. Step 5: Solve for x
    x = 2,425,481.78/2,335.64
  6. Step 6: Final answer
    x = 1,038.47

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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.