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Finding the Fourth Proportional to 1,809.33, 2,713.23 and 559.77

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Solution

The fourth proportional to 1,809.33, 2,713.23 and 559.77 is: 839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.33 : 2,713.23 = 559.77 : x
  2. Step 2: Convert to fraction form
    1,809.33/2,713.23 = 559.77/x
  3. Step 3: Cross multiply
    1,809.33x = 2,713.23 × 559.77
  4. Step 4: Simplify right side
    1,809.33x = 1,518,784.76
  5. Step 5: Solve for x
    x = 1,518,784.76/1,809.33
  6. Step 6: Final answer
    x = 839.42

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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.