Home / 1,606.64-2,409.97-1,284.06

Finding the Fourth Proportional to 1,606.64, 2,409.97 and 1,284.06

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Solution

The fourth proportional to 1,606.64, 2,409.97 and 1,284.06 is: 1,926.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.64 : 2,409.97 = 1,284.06 : x
  2. Step 2: Convert to fraction form
    1,606.64/2,409.97 = 1,284.06/x
  3. Step 3: Cross multiply
    1,606.64x = 2,409.97 × 1,284.06
  4. Step 4: Simplify right side
    1,606.64x = 3,094,542.87
  5. Step 5: Solve for x
    x = 3,094,542.87/1,606.64
  6. Step 6: Final answer
    x = 1,926.09

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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.