Home / 1,427.40-2,141.42-503.02

Finding the Fourth Proportional to 1,427.40, 2,141.42 and 503.02

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Solution

The fourth proportional to 1,427.40, 2,141.42 and 503.02 is: 754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.40 : 2,141.42 = 503.02 : x
  2. Step 2: Convert to fraction form
    1,427.40/2,141.42 = 503.02/x
  3. Step 3: Cross multiply
    1,427.40x = 2,141.42 × 503.02
  4. Step 4: Simplify right side
    1,427.40x = 1,077,177.09
  5. Step 5: Solve for x
    x = 1,077,177.09/1,427.40
  6. Step 6: Final answer
    x = 754.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.