Home / 1,546.41-2,316.92-1,288.08

Finding the Fourth Proportional to 1,546.41, 2,316.92 and 1,288.08

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Solution

The fourth proportional to 1,546.41, 2,316.92 and 1,288.08 is: 1,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.41 : 2,316.92 = 1,288.08 : x
  2. Step 2: Convert to fraction form
    1,546.41/2,316.92 = 1,288.08/x
  3. Step 3: Cross multiply
    1,546.41x = 2,316.92 × 1,288.08
  4. Step 4: Simplify right side
    1,546.41x = 2,984,371.87
  5. Step 5: Solve for x
    x = 2,984,371.87/1,546.41
  6. Step 6: Final answer
    x = 1,929.87

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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.