Home / 2,296.26-3,444.70-1,064

Finding the Fourth Proportional to 2,296.26, 3,444.70 and 1,064

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Solution

The fourth proportional to 2,296.26, 3,444.70 and 1,064 is: 1,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.26 : 3,444.70 = 1,064 : x
  2. Step 2: Convert to fraction form
    2,296.26/3,444.70 = 1,064/x
  3. Step 3: Cross multiply
    2,296.26x = 3,444.70 × 1,064
  4. Step 4: Simplify right side
    2,296.26x = 3,665,160.80
  5. Step 5: Solve for x
    x = 3,665,160.80/2,296.26
  6. Step 6: Final answer
    x = 1,596.14

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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.