Home / 2,296.10-3,445.50-909.57

Finding the Fourth Proportional to 2,296.10, 3,445.50 and 909.57

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Solution

The fourth proportional to 2,296.10, 3,445.50 and 909.57 is: 1,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.10 : 3,445.50 = 909.57 : x
  2. Step 2: Convert to fraction form
    2,296.10/3,445.50 = 909.57/x
  3. Step 3: Cross multiply
    2,296.10x = 3,445.50 × 909.57
  4. Step 4: Simplify right side
    2,296.10x = 3,133,923.44
  5. Step 5: Solve for x
    x = 3,133,923.44/2,296.10
  6. Step 6: Final answer
    x = 1,364.89

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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.