Home / 1,533.84-2,299.50-1,447.98

Finding the Fourth Proportional to 1,533.84, 2,299.50 and 1,447.98

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Solution

The fourth proportional to 1,533.84, 2,299.50 and 1,447.98 is: 2,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.84 : 2,299.50 = 1,447.98 : x
  2. Step 2: Convert to fraction form
    1,533.84/2,299.50 = 1,447.98/x
  3. Step 3: Cross multiply
    1,533.84x = 2,299.50 × 1,447.98
  4. Step 4: Simplify right side
    1,533.84x = 3,329,630.01
  5. Step 5: Solve for x
    x = 3,329,630.01/1,533.84
  6. Step 6: Final answer
    x = 2,170.78

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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.