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Finding the Fourth Proportional to 3,171.63, 4,377.78 and 1,845.87

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Solution

The fourth proportional to 3,171.63, 4,377.78 and 1,845.87 is: 2,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.63 : 4,377.78 = 1,845.87 : x
  2. Step 2: Convert to fraction form
    3,171.63/4,377.78 = 1,845.87/x
  3. Step 3: Cross multiply
    3,171.63x = 4,377.78 × 1,845.87
  4. Step 4: Simplify right side
    3,171.63x = 8,080,812.77
  5. Step 5: Solve for x
    x = 8,080,812.77/3,171.63
  6. Step 6: Final answer
    x = 2,547.84

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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.