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Finding the Fourth Proportional to 3,197.47, 4,412.10 and 1,780.80

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Solution

The fourth proportional to 3,197.47, 4,412.10 and 1,780.80 is: 2,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.47 : 4,412.10 = 1,780.80 : x
  2. Step 2: Convert to fraction form
    3,197.47/4,412.10 = 1,780.80/x
  3. Step 3: Cross multiply
    3,197.47x = 4,412.10 × 1,780.80
  4. Step 4: Simplify right side
    3,197.47x = 7,857,045.62
  5. Step 5: Solve for x
    x = 7,857,045.62/3,197.47
  6. Step 6: Final answer
    x = 2,457.27

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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.