Home / 1,489.14-2,055.23-826.15

Finding the Fourth Proportional to 1,489.14, 2,055.23 and 826.15

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Solution

The fourth proportional to 1,489.14, 2,055.23 and 826.15 is: 1,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.14 : 2,055.23 = 826.15 : x
  2. Step 2: Convert to fraction form
    1,489.14/2,055.23 = 826.15/x
  3. Step 3: Cross multiply
    1,489.14x = 2,055.23 × 826.15
  4. Step 4: Simplify right side
    1,489.14x = 1,697,928.26
  5. Step 5: Solve for x
    x = 1,697,928.26/1,489.14
  6. Step 6: Final answer
    x = 1,140.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.