Home / 2,101.88-2,900.66-1,157.69

Finding the Fourth Proportional to 2,101.88, 2,900.66 and 1,157.69

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Solution

The fourth proportional to 2,101.88, 2,900.66 and 1,157.69 is: 1,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.88 : 2,900.66 = 1,157.69 : x
  2. Step 2: Convert to fraction form
    2,101.88/2,900.66 = 1,157.69/x
  3. Step 3: Cross multiply
    2,101.88x = 2,900.66 × 1,157.69
  4. Step 4: Simplify right side
    2,101.88x = 3,358,066.54
  5. Step 5: Solve for x
    x = 3,358,066.54/2,101.88
  6. Step 6: Final answer
    x = 1,597.65

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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.