Home / 1,614.16-2,421.76-677.56

Finding the Fourth Proportional to 1,614.16, 2,421.76 and 677.56

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Solution

The fourth proportional to 1,614.16, 2,421.76 and 677.56 is: 1,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.16 : 2,421.76 = 677.56 : x
  2. Step 2: Convert to fraction form
    1,614.16/2,421.76 = 677.56/x
  3. Step 3: Cross multiply
    1,614.16x = 2,421.76 × 677.56
  4. Step 4: Simplify right side
    1,614.16x = 1,640,887.71
  5. Step 5: Solve for x
    x = 1,640,887.71/1,614.16
  6. Step 6: Final answer
    x = 1,016.56

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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.