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Finding the Fourth Proportional to 2,310.90, 3,464.41 and 1,077.67

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Solution

The fourth proportional to 2,310.90, 3,464.41 and 1,077.67 is: 1,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.90 : 3,464.41 = 1,077.67 : x
  2. Step 2: Convert to fraction form
    2,310.90/3,464.41 = 1,077.67/x
  3. Step 3: Cross multiply
    2,310.90x = 3,464.41 × 1,077.67
  4. Step 4: Simplify right side
    2,310.90x = 3,733,490.72
  5. Step 5: Solve for x
    x = 3,733,490.72/2,310.90
  6. Step 6: Final answer
    x = 1,615.60

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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.