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Finding the Fourth Proportional to 2,464.54, 3,692.70 and 1,732.58

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Solution

The fourth proportional to 2,464.54, 3,692.70 and 1,732.58 is: 2,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.54 : 3,692.70 = 1,732.58 : x
  2. Step 2: Convert to fraction form
    2,464.54/3,692.70 = 1,732.58/x
  3. Step 3: Cross multiply
    2,464.54x = 3,692.70 × 1,732.58
  4. Step 4: Simplify right side
    2,464.54x = 6,397,893.55
  5. Step 5: Solve for x
    x = 6,397,893.55/2,464.54
  6. Step 6: Final answer
    x = 2,595.98

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