Home / 2,114.47-2,917.99-1,157.41

Finding the Fourth Proportional to 2,114.47, 2,917.99 and 1,157.41

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Solution

The fourth proportional to 2,114.47, 2,917.99 and 1,157.41 is: 1,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.47 : 2,917.99 = 1,157.41 : x
  2. Step 2: Convert to fraction form
    2,114.47/2,917.99 = 1,157.41/x
  3. Step 3: Cross multiply
    2,114.47x = 2,917.99 × 1,157.41
  4. Step 4: Simplify right side
    2,114.47x = 3,377,310.81
  5. Step 5: Solve for x
    x = 3,377,310.81/2,114.47
  6. Step 6: Final answer
    x = 1,597.24

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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.