Home / 2,771.40-4,159.53-1,540.20

Finding the Fourth Proportional to 2,771.40, 4,159.53 and 1,540.20

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Solution

The fourth proportional to 2,771.40, 4,159.53 and 1,540.20 is: 2,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.40 : 4,159.53 = 1,540.20 : x
  2. Step 2: Convert to fraction form
    2,771.40/4,159.53 = 1,540.20/x
  3. Step 3: Cross multiply
    2,771.40x = 4,159.53 × 1,540.20
  4. Step 4: Simplify right side
    2,771.40x = 6,406,508.11
  5. Step 5: Solve for x
    x = 6,406,508.11/2,771.40
  6. Step 6: Final answer
    x = 2,311.65

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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.