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Finding the Fourth Proportional to 3,095.80, 4,271.70 and 1,916.80

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Solution

The fourth proportional to 3,095.80, 4,271.70 and 1,916.80 is: 2,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.80 : 4,271.70 = 1,916.80 : x
  2. Step 2: Convert to fraction form
    3,095.80/4,271.70 = 1,916.80/x
  3. Step 3: Cross multiply
    3,095.80x = 4,271.70 × 1,916.80
  4. Step 4: Simplify right side
    3,095.80x = 8,187,994.56
  5. Step 5: Solve for x
    x = 8,187,994.56/3,095.80
  6. Step 6: Final answer
    x = 2,644.87

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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.