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Finding the Fourth Proportional to 3,173.70, 4,377.66 and 2,476.74

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Solution

The fourth proportional to 3,173.70, 4,377.66 and 2,476.74 is: 3,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.70 : 4,377.66 = 2,476.74 : x
  2. Step 2: Convert to fraction form
    3,173.70/4,377.66 = 2,476.74/x
  3. Step 3: Cross multiply
    3,173.70x = 4,377.66 × 2,476.74
  4. Step 4: Simplify right side
    3,173.70x = 10,842,325.63
  5. Step 5: Solve for x
    x = 10,842,325.63/3,173.70
  6. Step 6: Final answer
    x = 3,416.30

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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.