Home / 2,306.52-3,459.60-746.46

Finding the Fourth Proportional to 2,306.52, 3,459.60 and 746.46

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Solution

The fourth proportional to 2,306.52, 3,459.60 and 746.46 is: 1,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.52 : 3,459.60 = 746.46 : x
  2. Step 2: Convert to fraction form
    2,306.52/3,459.60 = 746.46/x
  3. Step 3: Cross multiply
    2,306.52x = 3,459.60 × 746.46
  4. Step 4: Simplify right side
    2,306.52x = 2,582,453.02
  5. Step 5: Solve for x
    x = 2,582,453.02/2,306.52
  6. Step 6: Final answer
    x = 1,119.63

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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.