Home / 1,540.10-2,305.14-1,459.91

Finding the Fourth Proportional to 1,540.10, 2,305.14 and 1,459.91

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Solution

The fourth proportional to 1,540.10, 2,305.14 and 1,459.91 is: 2,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.10 : 2,305.14 = 1,459.91 : x
  2. Step 2: Convert to fraction form
    1,540.10/2,305.14 = 1,459.91/x
  3. Step 3: Cross multiply
    1,540.10x = 2,305.14 × 1,459.91
  4. Step 4: Simplify right side
    1,540.10x = 3,365,296.94
  5. Step 5: Solve for x
    x = 3,365,296.94/1,540.10
  6. Step 6: Final answer
    x = 2,185.12

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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.