Home / 1,577.27-2,174.18-1,157.02

Finding the Fourth Proportional to 1,577.27, 2,174.18 and 1,157.02

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Solution

The fourth proportional to 1,577.27, 2,174.18 and 1,157.02 is: 1,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.27 : 2,174.18 = 1,157.02 : x
  2. Step 2: Convert to fraction form
    1,577.27/2,174.18 = 1,157.02/x
  3. Step 3: Cross multiply
    1,577.27x = 2,174.18 × 1,157.02
  4. Step 4: Simplify right side
    1,577.27x = 2,515,558.52
  5. Step 5: Solve for x
    x = 2,515,558.52/1,577.27
  6. Step 6: Final answer
    x = 1,594.88

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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.