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Finding the Fourth Proportional to 2,871.10, 4,306.65 and 2,506.60

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Solution

The fourth proportional to 2,871.10, 4,306.65 and 2,506.60 is: 3,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.10 : 4,306.65 = 2,506.60 : x
  2. Step 2: Convert to fraction form
    2,871.10/4,306.65 = 2,506.60/x
  3. Step 3: Cross multiply
    2,871.10x = 4,306.65 × 2,506.60
  4. Step 4: Simplify right side
    2,871.10x = 10,795,048.89
  5. Step 5: Solve for x
    x = 10,795,048.89/2,871.10
  6. Step 6: Final answer
    x = 3,759.90

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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.