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Finding the Fourth Proportional to 2,773.80, 4,160.70 and 2,610

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Solution

The fourth proportional to 2,773.80, 4,160.70 and 2,610 is: 3,915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.80 : 4,160.70 = 2,610 : x
  2. Step 2: Convert to fraction form
    2,773.80/4,160.70 = 2,610/x
  3. Step 3: Cross multiply
    2,773.80x = 4,160.70 × 2,610
  4. Step 4: Simplify right side
    2,773.80x = 10,859,427
  5. Step 5: Solve for x
    x = 10,859,427/2,773.80
  6. Step 6: Final answer
    x = 3,915.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.