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Finding the Fourth Proportional to 3,196.58, 4,411.54 and 1,780.40

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Solution

The fourth proportional to 3,196.58, 4,411.54 and 1,780.40 is: 2,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.58 : 4,411.54 = 1,780.40 : x
  2. Step 2: Convert to fraction form
    3,196.58/4,411.54 = 1,780.40/x
  3. Step 3: Cross multiply
    3,196.58x = 4,411.54 × 1,780.40
  4. Step 4: Simplify right side
    3,196.58x = 7,854,305.82
  5. Step 5: Solve for x
    x = 7,854,305.82/3,196.58
  6. Step 6: Final answer
    x = 2,457.10

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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.