Home / 2,101.70-2,900.34-1,157.49

Finding the Fourth Proportional to 2,101.70, 2,900.34 and 1,157.49

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Solution

The fourth proportional to 2,101.70, 2,900.34 and 1,157.49 is: 1,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.70 : 2,900.34 = 1,157.49 : x
  2. Step 2: Convert to fraction form
    2,101.70/2,900.34 = 1,157.49/x
  3. Step 3: Cross multiply
    2,101.70x = 2,900.34 × 1,157.49
  4. Step 4: Simplify right side
    2,101.70x = 3,357,104.75
  5. Step 5: Solve for x
    x = 3,357,104.75/2,101.70
  6. Step 6: Final answer
    x = 1,597.33

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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.