Home / 2,533.29-3,801.09-972.78

Finding the Fourth Proportional to 2,533.29, 3,801.09 and 972.78

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Solution

The fourth proportional to 2,533.29, 3,801.09 and 972.78 is: 1,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.29 : 3,801.09 = 972.78 : x
  2. Step 2: Convert to fraction form
    2,533.29/3,801.09 = 972.78/x
  3. Step 3: Cross multiply
    2,533.29x = 3,801.09 × 972.78
  4. Step 4: Simplify right side
    2,533.29x = 3,697,624.33
  5. Step 5: Solve for x
    x = 3,697,624.33/2,533.29
  6. Step 6: Final answer
    x = 1,459.61

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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.