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Finding the Fourth Proportional to 2,055.09, 3,081.70 and 593.90

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Solution

The fourth proportional to 2,055.09, 3,081.70 and 593.90 is: 890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.09 : 3,081.70 = 593.90 : x
  2. Step 2: Convert to fraction form
    2,055.09/3,081.70 = 593.90/x
  3. Step 3: Cross multiply
    2,055.09x = 3,081.70 × 593.90
  4. Step 4: Simplify right side
    2,055.09x = 1,830,221.63
  5. Step 5: Solve for x
    x = 1,830,221.63/2,055.09
  6. Step 6: Final answer
    x = 890.58

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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.