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Finding the Fourth Proportional to 3,197.02, 4,411.82 and 1,780.66

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Solution

The fourth proportional to 3,197.02, 4,411.82 and 1,780.66 is: 2,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.02 : 4,411.82 = 1,780.66 : x
  2. Step 2: Convert to fraction form
    3,197.02/4,411.82 = 1,780.66/x
  3. Step 3: Cross multiply
    3,197.02x = 4,411.82 × 1,780.66
  4. Step 4: Simplify right side
    3,197.02x = 7,855,951.40
  5. Step 5: Solve for x
    x = 7,855,951.40/3,197.02
  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.