Home / 1,614.32-2,421.48-997.28

Finding the Fourth Proportional to 1,614.32, 2,421.48 and 997.28

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Solution

The fourth proportional to 1,614.32, 2,421.48 and 997.28 is: 1,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.32 : 2,421.48 = 997.28 : x
  2. Step 2: Convert to fraction form
    1,614.32/2,421.48 = 997.28/x
  3. Step 3: Cross multiply
    1,614.32x = 2,421.48 × 997.28
  4. Step 4: Simplify right side
    1,614.32x = 2,414,893.57
  5. Step 5: Solve for x
    x = 2,414,893.57/1,614.32
  6. Step 6: Final answer
    x = 1,495.92

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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.