Home / 2,123.24-3,185.62-953.12

Finding the Fourth Proportional to 2,123.24, 3,185.62 and 953.12

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Solution

The fourth proportional to 2,123.24, 3,185.62 and 953.12 is: 1,430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.24 : 3,185.62 = 953.12 : x
  2. Step 2: Convert to fraction form
    2,123.24/3,185.62 = 953.12/x
  3. Step 3: Cross multiply
    2,123.24x = 3,185.62 × 953.12
  4. Step 4: Simplify right side
    2,123.24x = 3,036,278.13
  5. Step 5: Solve for x
    x = 3,036,278.13/2,123.24
  6. Step 6: Final answer
    x = 1,430.02

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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.