Home / 1,524.55-2,282.19-977.11

Finding the Fourth Proportional to 1,524.55, 2,282.19 and 977.11

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Solution

The fourth proportional to 1,524.55, 2,282.19 and 977.11 is: 1,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.55 : 2,282.19 = 977.11 : x
  2. Step 2: Convert to fraction form
    1,524.55/2,282.19 = 977.11/x
  3. Step 3: Cross multiply
    1,524.55x = 2,282.19 × 977.11
  4. Step 4: Simplify right side
    1,524.55x = 2,229,950.67
  5. Step 5: Solve for x
    x = 2,229,950.67/1,524.55
  6. Step 6: Final answer
    x = 1,462.69

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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.