Home / 1,561.14-2,154.24-971.73

Finding the Fourth Proportional to 1,561.14, 2,154.24 and 971.73

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Solution

The fourth proportional to 1,561.14, 2,154.24 and 971.73 is: 1,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.14 : 2,154.24 = 971.73 : x
  2. Step 2: Convert to fraction form
    1,561.14/2,154.24 = 971.73/x
  3. Step 3: Cross multiply
    1,561.14x = 2,154.24 × 971.73
  4. Step 4: Simplify right side
    1,561.14x = 2,093,339.64
  5. Step 5: Solve for x
    x = 2,093,339.64/1,561.14
  6. Step 6: Final answer
    x = 1,340.90

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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.