Home / 2,053.97-2,834.40-1,157.75

Finding the Fourth Proportional to 2,053.97, 2,834.40 and 1,157.75

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Solution

The fourth proportional to 2,053.97, 2,834.40 and 1,157.75 is: 1,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.97 : 2,834.40 = 1,157.75 : x
  2. Step 2: Convert to fraction form
    2,053.97/2,834.40 = 1,157.75/x
  3. Step 3: Cross multiply
    2,053.97x = 2,834.40 × 1,157.75
  4. Step 4: Simplify right side
    2,053.97x = 3,281,512.43
  5. Step 5: Solve for x
    x = 3,281,512.43/2,053.97
  6. Step 6: Final answer
    x = 1,597.65

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1.5x scale

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.