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Finding the Fourth Proportional to 1,639.55, 2,459.30 and 406.95

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Solution

The fourth proportional to 1,639.55, 2,459.30 and 406.95 is: 610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.55 : 2,459.30 = 406.95 : x
  2. Step 2: Convert to fraction form
    1,639.55/2,459.30 = 406.95/x
  3. Step 3: Cross multiply
    1,639.55x = 2,459.30 × 406.95
  4. Step 4: Simplify right side
    1,639.55x = 1,000,810.10
  5. Step 5: Solve for x
    x = 1,000,810.10/1,639.55
  6. Step 6: Final answer
    x = 610.42

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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.