Home / 1,561.23-2,342.14-465.57

Finding the Fourth Proportional to 1,561.23, 2,342.14 and 465.57

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Solution

The fourth proportional to 1,561.23, 2,342.14 and 465.57 is: 698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.23 : 2,342.14 = 465.57 : x
  2. Step 2: Convert to fraction form
    1,561.23/2,342.14 = 465.57/x
  3. Step 3: Cross multiply
    1,561.23x = 2,342.14 × 465.57
  4. Step 4: Simplify right side
    1,561.23x = 1,090,419.57
  5. Step 5: Solve for x
    x = 1,090,419.57/1,561.23
  6. Step 6: Final answer
    x = 698.44

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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.