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Finding the Fourth Proportional to 1,814.40, 2,720.54 and 581.18

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Solution

The fourth proportional to 1,814.40, 2,720.54 and 581.18 is: 871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.40 : 2,720.54 = 581.18 : x
  2. Step 2: Convert to fraction form
    1,814.40/2,720.54 = 581.18/x
  3. Step 3: Cross multiply
    1,814.40x = 2,720.54 × 581.18
  4. Step 4: Simplify right side
    1,814.40x = 1,581,106.93
  5. Step 5: Solve for x
    x = 1,581,106.93/1,814.40
  6. Step 6: Final answer
    x = 871.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.