Home / 1,571.14-2,356.77-416.89

Finding the Fourth Proportional to 1,571.14, 2,356.77 and 416.89

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Solution

The fourth proportional to 1,571.14, 2,356.77 and 416.89 is: 625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.14 : 2,356.77 = 416.89 : x
  2. Step 2: Convert to fraction form
    1,571.14/2,356.77 = 416.89/x
  3. Step 3: Cross multiply
    1,571.14x = 2,356.77 × 416.89
  4. Step 4: Simplify right side
    1,571.14x = 982,513.85
  5. Step 5: Solve for x
    x = 982,513.85/1,571.14
  6. Step 6: Final answer
    x = 625.35

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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.