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Finding the Fourth Proportional to 2,697.57, 4,048.58 and 2,310.05

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Solution

The fourth proportional to 2,697.57, 4,048.58 and 2,310.05 is: 3,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.57 : 4,048.58 = 2,310.05 : x
  2. Step 2: Convert to fraction form
    2,697.57/4,048.58 = 2,310.05/x
  3. Step 3: Cross multiply
    2,697.57x = 4,048.58 × 2,310.05
  4. Step 4: Simplify right side
    2,697.57x = 9,352,438.13
  5. Step 5: Solve for x
    x = 9,352,438.13/2,697.57
  6. Step 6: Final answer
    x = 3,466.99

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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.