Home / 1,469.07-2,199.65-946.22

Finding the Fourth Proportional to 1,469.07, 2,199.65 and 946.22

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Solution

The fourth proportional to 1,469.07, 2,199.65 and 946.22 is: 1,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.07 : 2,199.65 = 946.22 : x
  2. Step 2: Convert to fraction form
    1,469.07/2,199.65 = 946.22/x
  3. Step 3: Cross multiply
    1,469.07x = 2,199.65 × 946.22
  4. Step 4: Simplify right side
    1,469.07x = 2,081,337.09
  5. Step 5: Solve for x
    x = 2,081,337.09/1,469.07
  6. Step 6: Final answer
    x = 1,416.77

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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.