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Finding the Fourth Proportional to 3,123.40, 4,310.50 and 2,074.76

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Solution

The fourth proportional to 3,123.40, 4,310.50 and 2,074.76 is: 2,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.40 : 4,310.50 = 2,074.76 : x
  2. Step 2: Convert to fraction form
    3,123.40/4,310.50 = 2,074.76/x
  3. Step 3: Cross multiply
    3,123.40x = 4,310.50 × 2,074.76
  4. Step 4: Simplify right side
    3,123.40x = 8,943,252.98
  5. Step 5: Solve for x
    x = 8,943,252.98/3,123.40
  6. Step 6: Final answer
    x = 2,863.31

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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.