Home / 1,571.14-2,358.10-821.16

Finding the Fourth Proportional to 1,571.14, 2,358.10 and 821.16

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Solution

The fourth proportional to 1,571.14, 2,358.10 and 821.16 is: 1,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.14 : 2,358.10 = 821.16 : x
  2. Step 2: Convert to fraction form
    1,571.14/2,358.10 = 821.16/x
  3. Step 3: Cross multiply
    1,571.14x = 2,358.10 × 821.16
  4. Step 4: Simplify right side
    1,571.14x = 1,936,377.40
  5. Step 5: Solve for x
    x = 1,936,377.40/1,571.14
  6. Step 6: Final answer
    x = 1,232.47

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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.