Home / 1,409.64-2,103.49-1,264.36

Finding the Fourth Proportional to 1,409.64, 2,103.49 and 1,264.36

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Solution

The fourth proportional to 1,409.64, 2,103.49 and 1,264.36 is: 1,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.64 : 2,103.49 = 1,264.36 : x
  2. Step 2: Convert to fraction form
    1,409.64/2,103.49 = 1,264.36/x
  3. Step 3: Cross multiply
    1,409.64x = 2,103.49 × 1,264.36
  4. Step 4: Simplify right side
    1,409.64x = 2,659,568.62
  5. Step 5: Solve for x
    x = 2,659,568.62/1,409.64
  6. Step 6: Final answer
    x = 1,886.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.