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Finding the Fourth Proportional to 3,196.58, 4,411.09 and 1,780.16

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Solution

The fourth proportional to 3,196.58, 4,411.09 and 1,780.16 is: 2,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.58 : 4,411.09 = 1,780.16 : x
  2. Step 2: Convert to fraction form
    3,196.58/4,411.09 = 1,780.16/x
  3. Step 3: Cross multiply
    3,196.58x = 4,411.09 × 1,780.16
  4. Step 4: Simplify right side
    3,196.58x = 7,852,445.97
  5. Step 5: Solve for x
    x = 7,852,445.97/3,196.58
  6. Step 6: Final answer
    x = 2,456.51

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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.