Home / 2,364.55-3,544.82-977.02

Finding the Fourth Proportional to 2,364.55, 3,544.82 and 977.02

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Solution

The fourth proportional to 2,364.55, 3,544.82 and 977.02 is: 1,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.55 : 3,544.82 = 977.02 : x
  2. Step 2: Convert to fraction form
    2,364.55/3,544.82 = 977.02/x
  3. Step 3: Cross multiply
    2,364.55x = 3,544.82 × 977.02
  4. Step 4: Simplify right side
    2,364.55x = 3,463,360.04
  5. Step 5: Solve for x
    x = 3,463,360.04/2,364.55
  6. Step 6: Final answer
    x = 1,464.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.