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Finding the Fourth Proportional to 2,370.83, 3,271.74 and 1,376.69

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Solution

The fourth proportional to 2,370.83, 3,271.74 and 1,376.69 is: 1,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.83 : 3,271.74 = 1,376.69 : x
  2. Step 2: Convert to fraction form
    2,370.83/3,271.74 = 1,376.69/x
  3. Step 3: Cross multiply
    2,370.83x = 3,271.74 × 1,376.69
  4. Step 4: Simplify right side
    2,370.83x = 4,504,171.74
  5. Step 5: Solve for x
    x = 4,504,171.74/2,370.83
  6. Step 6: Final answer
    x = 1,899.83

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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.