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Finding the Fourth Proportional to 2,462.04, 3,692.59 and 706.66

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Solution

The fourth proportional to 2,462.04, 3,692.59 and 706.66 is: 1,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.04 : 3,692.59 = 706.66 : x
  2. Step 2: Convert to fraction form
    2,462.04/3,692.59 = 706.66/x
  3. Step 3: Cross multiply
    2,462.04x = 3,692.59 × 706.66
  4. Step 4: Simplify right side
    2,462.04x = 2,609,394.65
  5. Step 5: Solve for x
    x = 2,609,394.65/2,462.04
  6. Step 6: Final answer
    x = 1,059.85

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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.