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Finding the Fourth Proportional to 1,692.52, 2,335.94 and 1,029.58

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Solution

The fourth proportional to 1,692.52, 2,335.94 and 1,029.58 is: 1,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.52 : 2,335.94 = 1,029.58 : x
  2. Step 2: Convert to fraction form
    1,692.52/2,335.94 = 1,029.58/x
  3. Step 3: Cross multiply
    1,692.52x = 2,335.94 × 1,029.58
  4. Step 4: Simplify right side
    1,692.52x = 2,405,037.11
  5. Step 5: Solve for x
    x = 2,405,037.11/1,692.52
  6. Step 6: Final answer
    x = 1,420.98

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