Home / 1,604.50-2,214.26-974.82

Finding the Fourth Proportional to 1,604.50, 2,214.26 and 974.82

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Solution

The fourth proportional to 1,604.50, 2,214.26 and 974.82 is: 1,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.50 : 2,214.26 = 974.82 : x
  2. Step 2: Convert to fraction form
    1,604.50/2,214.26 = 974.82/x
  3. Step 3: Cross multiply
    1,604.50x = 2,214.26 × 974.82
  4. Step 4: Simplify right side
    1,604.50x = 2,158,504.93
  5. Step 5: Solve for x
    x = 2,158,504.93/1,604.50
  6. Step 6: Final answer
    x = 1,345.28

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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.