Home / 2,102.34-3,146.83-1,175.07

Finding the Fourth Proportional to 2,102.34, 3,146.83 and 1,175.07

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Solution

The fourth proportional to 2,102.34, 3,146.83 and 1,175.07 is: 1,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.34 : 3,146.83 = 1,175.07 : x
  2. Step 2: Convert to fraction form
    2,102.34/3,146.83 = 1,175.07/x
  3. Step 3: Cross multiply
    2,102.34x = 3,146.83 × 1,175.07
  4. Step 4: Simplify right side
    2,102.34x = 3,697,745.53
  5. Step 5: Solve for x
    x = 3,697,745.53/2,102.34
  6. Step 6: Final answer
    x = 1,758.87

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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.