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Finding the Fourth Proportional to 2,370.87, 3,271.19 and 1,376.60

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Solution

The fourth proportional to 2,370.87, 3,271.19 and 1,376.60 is: 1,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.87 : 3,271.19 = 1,376.60 : x
  2. Step 2: Convert to fraction form
    2,370.87/3,271.19 = 1,376.60/x
  3. Step 3: Cross multiply
    2,370.87x = 3,271.19 × 1,376.60
  4. Step 4: Simplify right side
    2,370.87x = 4,503,096.92
  5. Step 5: Solve for x
    x = 4,503,096.92/2,370.87
  6. Step 6: Final answer
    x = 1,899.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.