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Finding the Fourth Proportional to 3,196.98, 4,411.80 and 1,780.62

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Solution

The fourth proportional to 3,196.98, 4,411.80 and 1,780.62 is: 2,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.98 : 4,411.80 = 1,780.62 : x
  2. Step 2: Convert to fraction form
    3,196.98/4,411.80 = 1,780.62/x
  3. Step 3: Cross multiply
    3,196.98x = 4,411.80 × 1,780.62
  4. Step 4: Simplify right side
    3,196.98x = 7,855,739.32
  5. Step 5: Solve for x
    x = 7,855,739.32/3,196.98
  6. Step 6: Final answer
    x = 2,457.24

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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.