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Finding the Fourth Proportional to 3,171.84, 4,376.96 and 1,845.76

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Solution

The fourth proportional to 3,171.84, 4,376.96 and 1,845.76 is: 2,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.84 : 4,376.96 = 1,845.76 : x
  2. Step 2: Convert to fraction form
    3,171.84/4,376.96 = 1,845.76/x
  3. Step 3: Cross multiply
    3,171.84x = 4,376.96 × 1,845.76
  4. Step 4: Simplify right side
    3,171.84x = 8,078,817.69
  5. Step 5: Solve for x
    x = 8,078,817.69/3,171.84
  6. Step 6: Final answer
    x = 2,547.04

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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.