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Finding the Fourth Proportional to 1,813.21, 2,720.01 and 580.81

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Solution

The fourth proportional to 1,813.21, 2,720.01 and 580.81 is: 871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.21 : 2,720.01 = 580.81 : x
  2. Step 2: Convert to fraction form
    1,813.21/2,720.01 = 580.81/x
  3. Step 3: Cross multiply
    1,813.21x = 2,720.01 × 580.81
  4. Step 4: Simplify right side
    1,813.21x = 1,579,809.01
  5. Step 5: Solve for x
    x = 1,579,809.01/1,813.21
  6. Step 6: Final answer
    x = 871.28

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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.