Home / 2,296.35-3,442.60-1,064.64

Finding the Fourth Proportional to 2,296.35, 3,442.60 and 1,064.64

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Solution

The fourth proportional to 2,296.35, 3,442.60 and 1,064.64 is: 1,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.35 : 3,442.60 = 1,064.64 : x
  2. Step 2: Convert to fraction form
    2,296.35/3,442.60 = 1,064.64/x
  3. Step 3: Cross multiply
    2,296.35x = 3,442.60 × 1,064.64
  4. Step 4: Simplify right side
    2,296.35x = 3,665,138.27
  5. Step 5: Solve for x
    x = 3,665,138.27/2,296.35
  6. Step 6: Final answer
    x = 1,596.07

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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.