Home / 1,460.38-2,190.72-473.12

Finding the Fourth Proportional to 1,460.38, 2,190.72 and 473.12

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Solution

The fourth proportional to 1,460.38, 2,190.72 and 473.12 is: 709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.38 : 2,190.72 = 473.12 : x
  2. Step 2: Convert to fraction form
    1,460.38/2,190.72 = 473.12/x
  3. Step 3: Cross multiply
    1,460.38x = 2,190.72 × 473.12
  4. Step 4: Simplify right side
    1,460.38x = 1,036,473.45
  5. Step 5: Solve for x
    x = 1,036,473.45/1,460.38
  6. Step 6: Final answer
    x = 709.73

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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.