Home / 1,574.29-2,171.88-1,014.64

Finding the Fourth Proportional to 1,574.29, 2,171.88 and 1,014.64

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Solution

The fourth proportional to 1,574.29, 2,171.88 and 1,014.64 is: 1,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.29 : 2,171.88 = 1,014.64 : x
  2. Step 2: Convert to fraction form
    1,574.29/2,171.88 = 1,014.64/x
  3. Step 3: Cross multiply
    1,574.29x = 2,171.88 × 1,014.64
  4. Step 4: Simplify right side
    1,574.29x = 2,203,676.32
  5. Step 5: Solve for x
    x = 2,203,676.32/1,574.29
  6. Step 6: Final answer
    x = 1,399.79

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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.