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Finding the Fourth Proportional to 2,055.69, 3,084.34 and 900.63

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Solution

The fourth proportional to 2,055.69, 3,084.34 and 900.63 is: 1,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.69 : 3,084.34 = 900.63 : x
  2. Step 2: Convert to fraction form
    2,055.69/3,084.34 = 900.63/x
  3. Step 3: Cross multiply
    2,055.69x = 3,084.34 × 900.63
  4. Step 4: Simplify right side
    2,055.69x = 2,777,849.13
  5. Step 5: Solve for x
    x = 2,777,849.13/2,055.69
  6. Step 6: Final answer
    x = 1,351.30

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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.