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Finding the Fourth Proportional to 1,692.64, 2,335.60 and 1,029.52

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Solution

The fourth proportional to 1,692.64, 2,335.60 and 1,029.52 is: 1,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.64 : 2,335.60 = 1,029.52 : x
  2. Step 2: Convert to fraction form
    1,692.64/2,335.60 = 1,029.52/x
  3. Step 3: Cross multiply
    1,692.64x = 2,335.60 × 1,029.52
  4. Step 4: Simplify right side
    1,692.64x = 2,404,546.91
  5. Step 5: Solve for x
    x = 2,404,546.91/1,692.64
  6. Step 6: Final answer
    x = 1,420.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.